Introduction and Basic Concepts Thermodynamics

8/13/2019 Introduction and Basic Concepts Thermodynamics

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{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop6266\shpright10440\shpbottom6266\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2037\shpz1\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}

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{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft5066\shptop13773\shpright5920\shpbottom13773\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2042\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 854}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(853,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop15066\shpright3893\shpbottom15080\shpfhdr0\sh

pwr3\shpwrk0\shpfblwtxt1\shplid2043\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 2093}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(2093,13);(2093,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}

{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\paperw12240\paperh15840\margl666\margr133\margt666\margb93\cols2\colno1\colw9506\colsr-0\colno2\colw1933\pard\li4626\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4626\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4626\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4626\ri0\sl-586\slmult0 \fs36\cf0\f0\charscalex100\b {Chapter 1}\b0 \par\pard\li1973\ri0\sl-493\slmult0 \fs36\cf0\f0\charscalex100\b {INTRODUCTION AND BASIC CONCEPTS}\b0 \par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slm

ult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-266\slmult0 \fs20\cf0\f0\charscalex100\b {Thermodynamics}\b0 \par\column\pard\li0\ri0\sl-280\slmult0 \fs20\cf0\f0\charscalex100 {1-1}\par\pard\sect\sectd\sbknone\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-426\slmult0\fs20\cf0\f0\charscalex100\b {1-1C}\b0 \fs20\cf0\f0\charscalex100 { Classical thermodynamics is based on experimental}\fs20\cf0\f0\charscalex100 { observationswhereas statistical thermodynamics}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {is based on the average behavior of large groups of particles.}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-413\slmult0 \fs18\cf0\f0\charscalex100\b {1-2C}\b0 \fs18\cf0\f0\charscalex100 { On a do


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wnhill road the potential en}\fs18\cf0\f0\charscalex100 {ergy of the bicyclist is being }\fs18\cf0\f0\charscalex100 {converted to kinetic energy, and}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {thus the bicyclist picks up speed. There is no creation of energy, and thus no violation of the conservation}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {of energy principle.}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-413\slmult0 \fs20\cf0\f0\charscalex100\b {1-3C}\b0 \fs20\cf0\f0\charscalex100 { There is no truth to his claim. It violates the second law of thermodynamics.}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-400\slmult0 \fs20\cf0\f0\charscalex100\b{Mass, Force, and Units}\b0 \par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-413\slmult0 \fs20\cf0\f0\charscalex100\b {1-4C}\b0 \fs20\cf0\f0\charscalex100 { Pound-mass lbm is the mass unit in English system whereas pound-force lbf is the force unit. One}\par\pard\li1133\ri0\sl-253\slmult0 \fs20\cf0\f0\charscalex100 {pound-force is the force required to accel}\fs20\cf0\f0\charscalex100 {erate a mass of 32.174 lbm by 1 ft/s}{\super \fs12\up3\cf0\f0\charscalex100 {2}}\fs20\cf0\f0\charscalex100 {. In other words, the weight }\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {of a 1-lbm mass at sea level is 1 lbf.}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-400\slmult0 \fs20\cf0\f0\charscalex100\b {1-5C}\b0 \fs20\cf0\f0\charscalex100 {Kg-mass is the mass unit in the SI}\fs20\cf0\f0\charscalex100 { system whereaskg-force is a fo}\fs20\cf0\f0\charscalex100 {rce unit. 1-kg-force is the force}\par\pard\li1133\ri0\sl-253\slmult0 \fs20\cf0\f0\charscalex100 {required to accel

erate a 1-kg mass by 9.807 m/s}{\super \fs12\up3\cf0\f0\charscalex100 {2}}\fs20\cf0\f0\charscalex100 {. In other words, the weight of 1-kg mass at sea level is1}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {kg-force.}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-413\slmult0 \fs20\cf0\f0\charscalex100\b {1-6C}\b0 \fs20\cf0\f0\charscalex100 { There is no acceleration, thus the net force is zero in both cases. }\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\b {1-7}\b0 \fs20\cf0\f0\charscalex100 { A plastic tank is filled with water. The weight of the combined system is to be determined.}\par\pard\li1133\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\b \i {Assumptions}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {The density of water is constant throughout.}\par\pard\li1133\ri0\sl-333\slmult0 \fs20\cf0\f0\charscalex100\b \i {Properties}\b0 \i0 {

}\fs20\cf0\f0\charscalex100 {The density of water is given to be}{ }\fs20\cf0\f0\charscalex100 {\uc1\u961X}\fs20\cf0\f0\charscalex100 { = 1000 kg/m}{\super \fs12\up3\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 {.}\par\pard\sect\sectd\sbknone\cols3\colno1\colw7146\colsr-0\colno2\colw1560\colsr-0\colno3\colw2733\pard\li1133\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\b \i {Analysis}\b0 \i0{ }\fs20\cf0\f0\charscalex100 {The mass of the water in the tank and the totalmass are}\par\pard\li1853\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1853\ri0\sl-440\slmult0 \fs20\cf0\f0\charscalex100\i {m}\i0 {\sub \fs12\cf0\f0\charscalex100\i{w}\i0 }\fs20\cf0\f0\charscalex100\i { =}\i0 \fs22\cf0\f0\charscalex100 {\uc1\u961X}\fs22\cf0\f0\charscalex100 {V}\fs20\cf0\f0\charscalex100\i { =}\i0 \fs20\cf0\f0\charscalex100 {(1000 kg/m}{\super \fs12\up3\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 {)(0.2 m}{\super \fs12\up3\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 {) = 200 kg}\par\pard\li1853\ri0\sl-320\slmult0 \fs20\cf0\f0

\charscalex100\i {m}\i0 \fs12\cf0\f0\charscalex100 {total}{\super \fs20\cf0\f0\charscalex100 { =}}\fs20\cf0\f0\charscalex100\i {m}\i0 {\sub \fs12\cf0\f0\charscalex100\i {w}\i0 }\fs20\cf0\f0\charscalex100\i { + m}\i0 \fs12\cf0\f0\charscalex100 {tank}{\super \fs20\cf0\f0\charscalex100\i {=}\i0 }\fs20\cf0\f0\charscalex100{ 200 + 3 = 203 kg}\par\pard\li1133\ri0\sl-293\slmult0 \fs20\cf0\f0\charscalex100 {Thus,}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-426\slmult0 \fs18\cf0\f0\charscalex100 {V}{ }\fs18\cf0\f1\charscalex100 {=0.2 m}{\super \fs12\up3\cf0\f1\charscalex100 {3}}\par\pard\li226\ri0\sl-426\slmult0 \fs18\cf0\f1\charscalex100 {H}{\sub \fs12\cf0\f1\charscalex100 {2}}\fs18\cf0\f1\charscalex100 {O}\par\column\pard\li0\ri0\sl-333\slmult0 \fs18\cf0\f0\charscalex10


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0\i {m}\i0 \fs12\cf0\f1\charscalex100 {tank}{ }\fs18\cf0\f1\charscalex100 {= 3 kg}\par\pard\sect\sectd\sbknone\cols4\colno1\colw4306\colsr-0\colno2\colw373\colsr-0\colno3\colw600\colsr-0\colno4\colw6160\pard\li4146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4146\ri0\sl-213\slmult0 \fs14\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-360\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63723X}\par\column\pard\li0\ri0\sl-400\slmult0 \fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {N}\par\column\pard\li0\ri0\sl-360\slmult0 \fs20\cf0\f0\charscalex100{\uc1\u63734X}\par\pard\sect\sectd\sbknone\cols4\colno1\colw4773\colsr-0\colno2\colw386\colsr-0\colno3\colw120\colsr-0\colno4\colw6160\pard\li1866\ri0\sl-360\slmult0 \*\tx4240\fs20\cf0\f0\charscalex100\i {W}\i0 { }\fs20\cf0\f0\charscalex100{=}{ }\fs20\cf0\f0\charscalex100\i {mg}\i0 { }\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100 {(203}{ }\fs20\cf0\f0\charscalex100 {kg)(9.81}{ }\fs20\cf0\f0\charscalex100 {m/s}\tab \fs20\cf0\f0\charscalex100 {)}\fs20\cf0\f0\charscalex100 {\uc1\u63724X}\fs20\cf0\f0\charscalex100 {\uc1\u63724X}\par\column\pard\li0\ri0\sl-266\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u8901X}\par\column\pard\li0\ri0\sl-173\slmult0 \fs14\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-360\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63735X}\fs20\cf0\f0\charscalex100 {\uc1\u63735X}{ }\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100\b {1991}\b0 { }\fs20\cf0\f0\charscalex100\b {N}\b0 \par\pard\sect\sectd\sbknone\pard\li4306\ri0\sl-266\slmult0 \*\tx4866\*\tx5280\fs20\cf0\f0\charscalex100 {\uc1\u63725X}\fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {kg}\tab \fs20\cf0\f0\charscalex100 {m/s}\tab \fs20\cf0\f0\charscalex100 {\uc1\u63736X}\par\pard\sect\sectd\sbknone\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft8346\shptop2613\shpright9680\shpbottom3906\shpfhdr0\shpw

r3\shpwrk0\shpfblwtxt1\shplid2044\shpz0\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1334}}{\sp{\sn geoBottom}{\sv 1293}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,1306);(1333,1306);(1333,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}

{\sp{\sn fillColor}{\sv 12632256}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8346\shptop2613\shpright9680\shpbottom3906\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2045\shpz1\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1334}}

{\sp{\sn geoBottom}{\sv 1293}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,1306);(1333,1306);(1333,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}


9/855

{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft5253\shptop4066\shpright6120\shpbottom4066\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2046\shpz2\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 867}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(866,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}

{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8533\shptop7960\shpright9080\shpbottom7960\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2047\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 547}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(546,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}

{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8800\shptop6146\shpright8800\shpbottom7960\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2048\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}

{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 0}}{\sp{\sn geoBottom}{\sv 1814}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,1813);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}


10/855

{\sp{\sn lineWidth}{\sv 12954}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8706\shptop5986\shpright8880\shpbottom6146\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2049\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 174}}{\sp{\sn geoBottom}{\sv 160}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(173,173);(80,0);(0,173);(173,173);(173,173);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}


{\sp{\sn pVerticies}{\sv 8;2;(0,0);(1213,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft5973\shptop13800\shpright6826\shpbottom13800\shpfhdr0\sh

pwr3\shpwrk0\shpfblwtxt1\shplid2051\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 853}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(853,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}


11/855

{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\margtsxn666\margbsxn426\pard\li9506\ri0\sl-280\slmult0 \fs20\cf0\f0\charscalex100 {1-2}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-346\slmult0 \fs18\cf0\f0\charscalex100\b {1-8}\b0 \fs18\cf0\f0\charscalex100 { The interior dimensions of a room aregiven. The mass and weight of the air in the room are to be}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {determined.}\par\pard\li1133\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\b \i {Assumptions}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {The density of air is constant throughout the room.}\par\pard\li1133\ri0\sl-333\slmult0 \fs20\cf0\f0\charscalex100\b \i {Properties}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {The density of air is given to be}{ }\fs20\cf0\f0\charscalex100 {\uc1\u961X}\fs20\cf0\f0\charscalex100 { = 1.16 kg/m}{\super \fs12\up3\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 {.}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols2\colno1\colw8066\colsr-0\colno2\colw3373\pard\li1133\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\b

\i {Analysis}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {The mass of the air in the room is}\par\column\pard\li0\ri0\sl-346\slmult0 \fs18\cf0\f1\charscalex100 {ROOM}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols4\colno1\colw3973\colsr-0\colno2\colw920\colsr-0\colno3\colw3306\colsr-0\colno4\colw3240\pard\li2080\ri0\sl-320\slmult0 \*\tx2573\fs20\cf0\f0\charscalex100 {=}\tab \fs20\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-320\slmult0 \*\tx253\fs20\cf0\f0\charscalex100 {}\tab \fs20\cf0\f0\charscalex100 {}\par\column\pard\li0\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100\b {334.1}\b0 { }\fs20\cf0\f0\charscalex100\b {kg}\b0 \par\column\pard\li0\ri0\sl-200\slmult0 \fs18\cf0\f1\charscalex100 {AIR}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols5\colno1\colw1893\colsr-0\colno2\colw2973\colsr-0\colno3\colw613\colsr-0\colno4\colw2466\colsr-0\colno5\colw3493\pard\li1133\ri0\sl-373\slmult0 \fs20\cf0\f0\charscalex100 {Thus,}\par\column\

pard\li0\ri0\sl-266\slmult0 \*\tx360\*\tx840\*\tx2213\*\tx2466\fs20\cf0\f0\charscalex100\i {m}\i0 \tab \fs22\cf0\f0\charscalex100 {\uc1\u961X}\fs22\cf0\f0\charscalex100 {V}\tab \fs20\cf0\f0\charscalex100 {(1.16}{ }\fs20\cf0\f0\charscalex100{kg/m}{\super \fs14\up3\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 {)(6}\tab \fs20\cf0\f0\charscalex100 {6}\tab \fs20\cf0\f0\charscalex100 {8}{ }\fs20\cf0\f0\charscalex100 {m}{\super \fs14\up3\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 {)}\par\pard\li2586\ri0\sl-453\slmult0 \fs20\cf0\f0\charscalex100{\uc1\u63723X}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-333\slmult0 \fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {N}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-293\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63734X}\par\column\pard\li0\ri0\sl-293\slmult0 \fs18\cf0\f1\charscalex100 {6X6X8 m}{\super \fs12\up3\cf0\f1\charscalex10

0 {3}}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols3\colno1\colw4320\colsr-0\colno2\colw1160\colsr-0\colno3\colw5960\pard\li2120\ri0\sl-240\slmult0 \*\tx2586\fs20\cf0\f0\charscalex100 {=}\tab \fs20\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-386\slmult0 \*\tx160\fs14\cf0\f0\charscalex100 {2}\tab \fs20\cf0\f0\charscalex100 {\uc1\u63724X}\fs20\cf0\f0\charscalex100 {\uc1\u63724X}\par\column\pard\li0\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63735X}\fs20\cf0\f0\charscalex100 {\uc1\u63735X}{\super \fs20\up3\cf0\f0\charscalex100 {=}}\fs20\cf0\f0\charscalex100\b {3277}\b0 { }\fs20\cf0\f0\charscalex100\b {N}\b0 \par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols3\colno1\colw4946\colsr-0\colno2\colw386\colsr-0\coln


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o3\colw6106\pard\li1866\ri0\sl-226\slmult0 \*\tx2280\*\tx2733\*\tx4426\fs20\cf0\f0\charscalex100\i {W}\i0 \tab \fs20\cf0\f0\charscalex100\i {mg}\i0 \tab \fs20\cf0\f0\charscalex100 {(334.1}{ }\fs20\cf0\f0\charscalex100 {kg)(9.81}{ }\fs20\cf0\f0\charscalex100 {m/s}\tab \fs20\cf0\f0\charscalex100 {)}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u8901X}\par\column\pard\li0\ri0\sl-160\slmult0 \fs14\cf0\f0\charscalex100 {2}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols2\colno1\colw5480\colsr-0\colno2\colw5960\pard\li4480\ri0\sl-266\slmult0 \*\tx5026\fs20\cf0\f0\charscalex100 {\uc1\u63725X}{ }\fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {kg}\tab \fs20\cf0\f0\charscalex100 {m/s}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63736X}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100\b {1-9}\b0 \fs20\cf0\f0\charscalex100 { The variation of gravitational accel}\fs20\cf0\f0\charscalex100 {eration above the sea level is gi}\fs20\cf0\f0\charscalex100 {ven as a function of altitude. The}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {height at which the weight}\fs20\cf0\f0\charscalex100 { of a body will decrease by 1% is to be determined.}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols2\colno1\colw7946\colsr-0\colno2\colw3493\pard\li1133\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100\b \i {Analysis}\b0 \i0 { }\fs20\cf0\f0\charscalex100 { The weight of a body at the elevation z can be expressed as}\par\pard\li2866\ri0\sl-346\slmult0 \*\tx3400\*\tx364

0\*\tx3906\*\tx4240\fs20\cf0\f0\charscalex100 {( .}\tab \fs20\cf0\f0\charscalex100 {\uc1\u8722X}\tab \fs20\cf0\f0\charscalex100 {.}\tab \fs20\cf0\f0\charscalex100 {}\tab \fs14\cf0\f0\charscalex100 {\uc1\u8722X}\fs14\cf0\f0\charscalex100 {6}{}\fs20\cf0\f0\charscalex100\i {z}\i0 \fs20\cf0\f0\charscalex100 {)}\par\pard\li1866\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100\i {W}\i0 { }\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100\i {mg m}\i0 \par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {In our case,}\par\column\pard\li0\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100\i {z}\i0 \par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols4\colno1\colw2106\colsr-0\colno2\colw160\colsr-0\colno3\colw1453\colsr-0\colno4\colw7720\pard\li1866\ri0\sl-333\slmult0 \fs20\cf0\f0\charscalex100\i {W}\i0 \par\column\pard\li0\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100 {=}\par\column\pard\li586\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100 {=}\par\pard\li0\ri0\sl-226\slmult0 \*\tx746\fs20\cf0\f0

\charscalex100 {0 99}\fs20\cf0\f0\charscalex100\i {W}\i0 \tab \fs20\cf0\f0\charscalex100 {0 99}\fs20\cf0\f0\charscalex100\i {mg}\i0 \par\pard\li466\ri0\sl-160\slmult0 \*\tx1320\fs14\cf0\f0\charscalex100\i {s}\i0 \tab \fs14\cf0\f0\charscalex100\i {s}\i0 \par\column\pard\li0\ri0\sl-333\slmult0 \*\tx840\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100 {0 99}{ }\fs20\cf0\f0\charscalex100\i {m}\i0 \tab \fs20\cf0\f0\charscalex100 {9 807}\fs20\cf0\f0\charscalex100 {)}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols3\colno1\colw4706\colsr-0\colno2\colw2986\colsr-0\colno3\colw3746\pard\li1133\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100 {Substituting, }\par\pard\li1880\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {0}\fs20\cf0\f0\charscalex100 {.}\fs20\cf0\f0\charscalex100 {99}\fs20\cf0\f0\charscalex100 {(}\fs20\cf0\f0\charscalex100{9}\fs20\cf0\f0\charscalex100 {.}\fs20\cf0\f0\charscalex100 {81}\fs20\cf0\f0\charscalex100 {)}{ }\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100 {(}

\fs20\cf0\f0\charscalex100 {9}\fs20\cf0\f0\charscalex100 {.}\fs20\cf0\f0\charscalex100 {81}{ }\fs20\cf0\f0\charscalex100 {\uc1\u8722X}{ }\fs20\cf0\f0\charscalex100 {3}\fs20\cf0\f0\charscalex100 {.}\fs20\cf0\f0\charscalex100 {32}{ }\fs20\cf0\f0\charscalex100 {}\fs20\cf0\f0\charscalex100 {10}{ }\fs14\cf0\f0\charscalex100{\uc1\u8722X}\fs14\cf0\f0\charscalex100 {6}{\sub \fs20\cf0\f0\charscalex100\i {z}\i0 }\fs20\cf0\f0\charscalex100 {)}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-280\slmult0\fs20\cf0\f0\charscalex100 {\uc1\u63719X}\fs20\cf0\f0\charscalex100 {\uc1\u63719X\uc1\u8594X}{ }\fs20\cf0\f0\charscalex100\i {z}\i0 { }\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100\b {29,539}\b0 { }\fs20\cf0\f0\charscalex100\b


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{m}\b0 \par\column\pard\li280\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li280\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {0}\par\pard\li0\ri0\sl-360\slmult0 \fs20\cf0\f0\charscalex100 {Sea level}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-426\slmult0 \fs20\cf0\f0\charscalex100\b {1-10E}\b0 \fs20\cf0\f0\charscalex100 { An astronaut took his scales with him to space. It}\fs20\cf0\f0\charscalex100 { is to be determined how much he will weigh on}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {the spring and beam scales in space.}\par\pard\li1133\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100\b \i {Analysis}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {(}\fs20\cf0\f0\charscalex100\i {a}\i0 \fs20\cf0\f0\charscalex100 {) A spring scale measures weight, which isthe local gravitational force applied on a body: }\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols4\colno1\colw4266\colsr-0\colno2\colw666\colsr-0\colno3\colw840\colsr-0\colno4\colw5666\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-293\slmult0 \*\tx2573\fs20\cf0\f0\charscalex100 {=}\tab \fs20\cf0\f0\charscalex100 {=}\par\column\pard\li160\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63723X}\par\pard\li0\ri0\sl-386\slmult0 \*\tx160\fs12\cf0\f0\charscalex100 {2}\tab \fs18\cf0\f0\charscalex100 {\uc1\u63724X}\fs18\cf0\f0\charscalex100 {\uc1\u63724X}\par\column\pard\li0\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {lbf}\par\column\pard\li0\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63734X}\par\pard\li0\ri0\sl-360\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63735X}\fs20\cf0\f0\charscalex100 {\uc1\u63735X}{\super \fs20\up4\cf0\f0\charscalex100 {=}}\fs20\

cf0\f0\charscalex100\b {25.5}\b0 { }\fs20\cf0\f0\charscalex100\b {lbf}\b0 \par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols3\colno1\colw5280\colsr-0\colno2\colw346\colsr-0\colno3\colw5813\pard\li1866\ri0\sl-226\slmult0 \*\tx2280\*\tx2733\*\tx4360\fs20\cf0\f0\charscalex100\i {W}\i0 \tab \fs20\cf0\f0\charscalex100\i {mg}\i0 \tab \fs20\cf0\f0\charscalex100 {(150}{ }\fs20\cf0\f0\charscalex100 {lbm)(5.48}{ }\fs20\cf0\f0\charscalex100 {ft/s}\tab \fs20\cf0\f0\charscalex100 {)}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u8901X}\par\column\pard\li0\ri0\sl-160\slmult0 \fs14\cf0\f0\charscalex100 {2}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols2\colno1\colw5773\colsr-0\colno2\colw5666\pard\li4426\ri0\sl-266\slmult0 \*\tx5346\fs20\cf0\f0\charscalex100 {\uc1\u63725X}{ }\fs20\cf0\f0\charscalex100 {32.2}{ }\fs20\cf0\f0\charscalex100 {lbm}\tab \fs20\cf0\f0\charscalex100 {ft/s}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc

1\u63736X}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\pard\li1133\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {(}\fs20\cf0\f0\charscalex100\i {b}\i0 \fs20\cf0\f0\charscalex100 {) A beam scale compares masses and thus is not aff}\fs20\cf0\f0\charscalex100 {ected by the variations in gravitational acceleration.}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {The beam scale will read what it reads on earth,}\par\pard\li1866\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\i {W}\i0 { }\fs20\cf0\f0\charscalex100{=}{ }\fs20\cf0\f0\charscalex100\b {150 lbf}\b0 \par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100\b {1-11}\b0 \fs20\cf0\f0\charscalex100 { The acceleration of anaircraft is given in}{ }\fs20\cf0\f0\charscalex100\i {g}\i0 \fs20\cf0\f0\charsc

alex100 {\uc1\u8217Xs. The net upward force acting on a man in the aircraft is }\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {to be determined.}\par\pard\li1133\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100\b \i {Analysis}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {From the Newton's second law, the force applied is }\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols6\colno1\colw3280\colsr-0\colno2\colw920\colsr-0\colno3\colw826\colsr-0\colno4\colw546\colsr-0\colno5\colw613\colsr-0\colno6\colw5253\pard\li2080\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2080\ri0\sl-293\slmult0 \*\tx2546\fs20\cf0\f0\charscalex100 {=}\tab \fs20\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-293\slmult0 \fs20\cf0\f0\charscale


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x100 {=}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {}\par\column\pard\li173\ri0\sl-346\slmult0\fs20\cf0\f0\charscalex100 {\uc1\u63723X}\par\pard\li0\ri0\sl-386\slmult0 \*\tx173\fs12\cf0\f0\charscalex100 {2}\tab \fs18\cf0\f0\charscalex100 {\uc1\u63724X}\fs18\cf0\f0\charscalex100 {\uc1\u63724X}\par\column\pard\li0\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {N}\par\column\pard\li0\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63734X}\par\pard\li0\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63735X}\fs20\cf0\f0\charscalex100 {\uc1\u63735X}{\super \fs20\up3\cf0\f0\charscalex100 {=}}\fs20\cf0\f0\charscalex100\b {5297}\b0 { }\fs20\cf0\f0\charscalex100\b {N}\b0 \par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols4\colno1\colw2920\colsr-0\colno2\colw2746\colsr-0\colno3\colw386\colsr-0\colno4\colw5386\pard\li1893\ri0\sl-226\slmult0 \*\tx2240\fs20\cf0\f0\charscalex100\i {F}\i0 \tab \fs20\cf0\f0\charscalex100\i {ma}\i0 \par\column\pard\li0\ri0\sl-226\slmult0 \*\tx506\*\tx1413\*\tx2213\fs20\cf0\f0\charscalex100\i {m}\i0 \fs20\cf0\f0\charscalex100 {(}\fs20\cf0\f0\charscalex100 {6}{ }\fs20\cf0\f0\charscalex100 {g}\fs20\cf0\f0\charscalex100 {)}\tab \fs20\cf0\f0\charscalex100 {(90}{ }\fs20\cf0\f0\charscalex100 {kg)(6}\tab \fs20\cf0\f0\charscalex100 {9.81}{ }\fs20\cf0\f0\charscalex100 {m/s}\tab \fs20\cf0\f0\charscalex100 {)}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u8901X}\par\column\pard\li0\ri0\sl-160\slmult0 \fs14\cf0\f0\charscalex100 {2}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols2\colno1\colw6186\colsr-0\colno2\colw5253\pard\li5200\ri0\sl-266\slmult0 \*\tx5733\fs20\cf0\f0\charscalex100 {\uc1\u63725X}\fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {kg}\tab \fs20\cf0\f0\charscalex

100 {m/s}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63736X}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft4933\shptop2693\shpright5786\shpbottom2693\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2052\shpz0\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 853}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(853,0);}}

{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8173\shptop4146\shpright8720\shpbottom4680

\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2059\shpz1\shpbxpage\shpbypage\absh15840\absw12240{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\jpegblipFFD8FFE000104A46494600010101004800480000FFDB004300080606070605080707070909080A0C


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}}}}}{\shp{\*\shpinst\shpleft8173\shptop4146\shpright8720\shpbottom4680\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2053\shpz2\shpbxpage\shpbypage

{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 547}}{\sp{\sn geoBottom}{\sv 534}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;9;(160,0);(0,160);(0,386);(160,546);(386,546);(546,386);(546,160);(386,0);(160,0);}}{\sp{\sn pSegmentInfo}{\sv 2;20;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}

{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8480\shptop3066\shpright8480\shpbottom4053\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2054\shpz2\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}

{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 0}}{\sp{\sn geoBottom}{\sv 987}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,973);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}


16/855

{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8426\shptop2973\shpright8533\shpbottom3120\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2055\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 107}}{\sp{\sn geoBottom}{\sv 147}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;6;(106,160);(53,0);(0,160);(53,106);(106,160);(106,160);}}{\sp{\sn pSegmentInfo}{\sv 2;14;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}

{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2866\shptop4520\shpright3053\shpbottom4520\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2056\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 187}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(173,0);}}

{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3266\shptop4520\shpright4026\shpbottom4520\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2057\shpz4\shpbxpage\shpbypage

{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 760}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(760,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}


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{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4173\shptop4520\shpright5026\shpbottom4520\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2058\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 853}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(853,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}

{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\margtsxn666\margbsxn666\pard\li9506\ri0\sl-280\slmult0 \fs20\cf0\f0\charscalex100 {1-3}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-346\slmult0 \*\tx1613\fs20\cf0\f0\charscalex100\b {1-12}\b0 \tab \fs20\cf0\f0\charscalex100\b {[}\b0 \fs20\cf0\f0\charscalex100\i {Also solved by EES on enclosed CD}\i0 \fs20\cf0\f0\charscalex100\b{]}\b0 \fs20\cf0\f0\charscalex100 { A rock is thrown upward w}\fs20\cf0\f0\charscalex100 {ith a specified force. The}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\

cf0\f0\charscalex100 {acceleration of the rock is to be determined.}\par\pard\li1133\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\b \i {Analysis}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {The weight of the rock is}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols4\colno1\colw4000\colsr-0\colno2\colw546\colsr-0\colno3\colw600\colsr-0\colno4\colw6293\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-306\slmult0 \*\tx2573\fs20\cf0\f0\charscalex100 {=}\tab \fs20\cf0\f0\charscalex100 {=}\par\column\pard\li160\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63723X}\par\pard\li0\ri0\sl-386\slmult0 \*\tx160\fs12\cf0\f0\charscalex100 {2}\tab \fs18\cf0\f0\charscalex100 {\uc1\u63724X}\fs18\cf0\f0\charscalex100 {\uc1\u63724X}\par\column\pard\li0\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {N}\par\column\pard\li0\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63734X}\par\pard\li0\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63735X}\fs20\cf0\f

0\charscalex100 {\uc1\u63735X}{\super \fs20\up3\cf0\f0\charscalex100 {=}}\fs20\cf0\f0\charscalex100\b {48.95}\b0 { }\fs20\cf0\f0\charscalex100\b {N}\b0 \par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols3\colno1\colw4626\colsr-0\colno2\colw386\colsr-0\colno3\colw6426\pard\li1866\ri0\sl-226\slmult0 \*\tx2280\*\tx2733\*\tx4093\fs20\cf0\f0\charscalex100\i {W}\i0 \tab \fs20\cf0\f0\charscalex100\i {mg}\i0 \tab \fs20\cf0\f0\charscalex100 {(5}{ }\fs20\cf0\f0\charscalex100 {kg)(9.79}{ }\fs20\cf0\f0\charscalex100 {m/s}\tab \fs20\cf0\f0\charscalex100 {)}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u8901X}\par\column\pard\li0\ri0\sl-160\slmult0 \fs14\cf0\f0\charscalex100 {2}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margr


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sxn133\cols2\colno1\colw5146\colsr-0\colno2\colw6293\pard\li4160\ri0\sl-266\slmult0 \*\tx4706\fs20\cf0\f0\charscalex100 {\uc1\u63725X}{ }\fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {kg}\tab \fs20\cf0\f0\charscalex100 {m/s}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {Then the net forcethat}\fs20\cf0\f0\charscalex100 { acts on the rock is}\par\column\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63736X}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\cols2\colno1\colw8093\colsr-0\colno2\colw3346\pard\li2013\ri0\sl-360\slmult0 \fs20\cf0\f0\charscalex100\i {F}\i0 {\sub \fs14\cf0\f0\charscalex100 {net}}\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100\i {F}\i0 {\sub \fs14\cf0\f0\charscalex100 {up}}\fs20\cf0\f0\charscalex100 {\uc1\u8722X}{ }\fs20\cf0\f0\charscalex100\i {F}\i0 \fs14\cf0\f0\charscalex100 {down}{\super \fs20\up1\cf0\f0\charscalex100 {=}}\fs20\cf0\f0\charscalex100 {150}{ }\fs20\cf0\f0\charscalex100 {\uc1\u8722X}{ }\fs20\cf0\f0\charscalex100 {48.95}{ }\fs20\cf0\f0\charscalex100 {=}{ }\fs20\cf0\f0\charscalex100 {101.05}{ }\fs20\cf0\f0\charscalex100 {N}\par\pard\li1133\ri0\sl-373\slmult0 \fs20\cf0\f0\charscalex100 {From the Newton's second law, the }\fs20\cf0\f0\charscalex100 {acceleration of the rock becomes}\par\pard\li2600\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {101.05}{ }\fs20\cf0\f0\charscalex100 {N}{ }\fs20\cf0\f0\charscalex100 {\uc1\u63723X}\fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {kg}{ }\fs20\cf0\f0\charscalex100 {\uc1\u8901X}\fs20\cf0\f0\charscalex100 {m/s}{\super \fs14\up3\cf0\f0\charscalex100 {2}}\fs20\cf0\f0\charscalex100{\uc1\u63734X}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-400\slmult0 \fs20\cf0\f0\charscalex100 {Stone}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\mar

grsxn133\cols5\colno1\colw2800\colsr-0\colno2\colw600\colsr-0\colno3\colw373\colsr-0\colno4\colw613\colsr-0\colno5\colw7053\pard\li1893\ri0\sl-346\slmult0 \fs20\cf0\f0\charscalex100\i {a}\i0 {\super \fs20\up4\cf0\f0\charscalex100\i {F}\i0 }\par\pard\li2040\ri0\sl-240\slmult0 \*\tx2440\fs20\cf0\f0\charscalex100 {=}\tab\fs20\cf0\f0\charscalex100 {=}\par\pard\li2226\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100\i {m}\i0 \par\column\pard\li0\ri0\sl-293\slmult0 \fs20\cf0\f0\charscalex100 {5}{ }\fs20\cf0\f0\charscalex100 {kg}\par\column\pard\li0\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63724X}\fs20\cf0\f0\charscalex100 {\uc1\u63724X}\par\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63725X}\par\column\pard\li0\ri0\sl-293\slmult0 \fs20\cf0\f0\charscalex100 {1}{ }\fs20\cf0\f0\charscalex100 {N}\par\column\pard\li0\ri0\sl-386\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63735X}\fs20\cf0\f0\charscalex100 {\uc1\u63735X}{\super \fs20\up3\cf0\f0\charscalex100 {=}}\fs20\cf0\f0\charscalex100\b {20.2}\b0 { }\fs20\cf

0\f0\charscalex100\b {m/s}\b0 {\super \fs14\up3\cf0\f0\charscalex100\b {2}\b0 }\par\pard\li0\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {\uc1\u63736X}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-373\slmult0 \fs20\cf0\f0\charscalex100\b{1-13 EES }\b0 \fs20\cf0\f0\charscalex100 {Problem 1-12 is reconsidered. The entire EES solution is to be printed out, including the}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f0\charscalex100 {numerical results with proper units. }\par\pard\li1133\ri0\sl-320\slmult0 \fs20\cf0\f0\charscalex100\b \i {Analysis}\b0 \i0 { }\fs20\cf0\f0\charscalex100 {The problem is solved using EES, and the solution is given below. }\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li11

33\ri0\sl-360\slmult0 \fs20\cf0\f1\charscalex100 {W=m*g}\fs20\cf2\f1\charscalex100 {"[N]"}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {m=5}\fs20\cf2\f1\charscalex100 {"[kg]"}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f1\charscalex100 {g=9.79}\fs20\cf2\f1\charscalex100 {"[m/s^2]"}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf2\f1\charscalex100 {"The force balance on the rock yields the net force acting on the rock as"}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f1\charscalex100 {F_net = F_up - F_down}\fs20\cf2\f1\charscalex100 {"[N]"}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {F_up=150}\fs20\cf2\f1\charscalex100 {"[N]"}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {F_down=W}\fs20\cf2\f1\c


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harscalex100 {"[N]"}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-253\slmult0 \fs20\cf2\f1\charscalex100 {"The acceleration of the rock is determined from Newton's second law."}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {F_net=a*m}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf2\f1\charscalex100 {"To Run the program, press F2 or click on t}\fs20\cf2\f1\charscalex100 {he calculator icon from the Calculate menu"}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-253\slmult0 \fs20\cf0\f1\charscalex100 {SOLUTION}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {a=20.21 [m/s^2]}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f1\charscalex100 {F_down=48.95 [N]}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {F_net=101.1 [N]}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {F_up=150 [N]}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {g=9.79 [m/s^2]}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f1\charscalex100 {m=5 [kg]}\par\pard\li1133\ri0\sl-226\slmult0 \fs20\cf0\f1\charscalex100 {W=48.95 [N]}\par\pard\sect\sectd\sbknone\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft9013\shptop3373\shpright10333\shpbottom3973\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2060\shpz1\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1320}}{\sp{\sn geoBottom}{\sv 600}}

{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;9;(1320,560);(200,320);(160,80);(0,0);(26,306);(266,440);(1146,600);(1293,586);(1320,560);}}{\sp{\sn pSegmentInfo}{\sv 2;20;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 7041791}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}

{\shp{\*\shpinst\shpleft10066\shptop3813\shpright10146\shpbottom3893\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2061\shpz2\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 80}}{\sp{\sn geoBottom}{\sv 80}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;22;(26,66);(13,66);(0,53);(0,40);(0,26);(13,13);(13,13);(13,0);(26,0);(26,0);(40,0);(40,0);(53,13);(66,13);(66,26);(66,40);(66,53);(53,53);(53,66);(40,66);(26,66);(26,66);}}{\sp{\sn pSegmentInfo}{\sv 2;46;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45

824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}


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{\shp{\*\shpinst\shpleft9933\shptop3800\shpright10000\shpbottom3866\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2062\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 67}}{\sp{\sn geoBottom}{\sv 66}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;22;(26,66);(13,66);(0,53);(0,40);(0,26);(13,13);(13,13);(13,0);(26,0);(26,0);(40,0);(53,0);(66,13);(66,26);(66,40);(66,53);(66,53);(53,66);(53,66);(40,66);(40,66);(26,66);}}{\sp{\sn pSegmentInfo}{\sv 2;46;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9800\shptop3773\shpright9866\shpbottom3840\shpfhdr0\shpw

r3\shpwrk0\shpfblwtxt1\shplid2063\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 66}}{\sp{\sn geoBottom}{\sv 67}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;23;(26,66);(13,66);(0,53);(0,40);(0,26);(0,13);(13,13);(13,0);(26,0);(26,0);(40,0);(40,0);(53,13);(66,13);(66,26);(66,40);(66,53);(53,66);(53,66);(40,66);(40,66);(26,66);(26,66);}}{\sp{\sn pSegmentInfo}{\sv 2;48;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45

824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9653\shptop3746\shpright9720\shpbottom3813\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2064\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}

{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 67}}{\sp{\sn geoBottom}{\sv 67}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;21;(26,66);(13,66);(0,53);(0,40);(0,26);(13,13);(13,13);(26,0);(26,0);(40,0);(40,0);(53,13);(66,13);(66,26);(66,40);(66,53);(53,53);(53,66);(53,66);(40,66);(26,66);}}{\sp{\sn pSegmentInfo}{\sv 2;44;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45


21/855

824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9520\shptop3720\shpright9586\shpbottom3786\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2065\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 66}}{\sp{\sn geoBottom}{\sv 66}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;23;(26,66);(13,53);(0,53);(0,40);(0,26);(13,13);(13,13);(13,0);(26,0);(26,0);(40,0);(40,0);(53,13);(66,13);(66,26);(66,40);(66,53);(53,53);(53,66);(53,66);(40,66);(26,66);(26,66);}}{\sp{\sn pSegmentInfo}{\sv 2;48;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}

{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9373\shptop3706\shpright9440\shpbottom3773\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2066\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}

{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 67}}{\sp{\sn geoBottom}{\sv 67}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;23;(26,66);(13,66);(0,53);(0,40);(0,26);(13,13);(13,13);(13,0);(26,0);(26,0);(40,0);(40,0);(53,13);(66,13);(66,26);(66,40);(66,53);(53,53);(53,66);(53,66);(40,66);(40,66);(26,66);}}{\sp{\sn pSegmentInfo}{\sv 2;48;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}

{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9240\shptop3680\shpright9306\shpbottom3746\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2067\shpz8\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}


22/855

{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 66}}{\sp{\sn geoBottom}{\sv 66}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;22;(26,66);(13,66);(0,53);(0,40);(0,26);(13,13);(13,13);(13,0);(26,0);(40,0);(40,0);(53,13);(66,13);(66,26);(66,40);(66,53);(53,66);(53,66);(40,66);(40,66);(26,66);(26,66);}}{\sp{\sn pSegmentInfo}{\sv 2;46;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9573\shptop3013\shpright10013\shpbottom3733\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2068\shpz9\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}

{\sp{\sn geoRight}{\sv 440}}{\sp{\sn geoBottom}{\sv 720}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;52;(0,653);(13,560);(40,453);(53,400);(66,346);(80,280);(106,226);(120,200);(133,146);(146,120);(173,93);(186,80);(213,40);(213,40);(226,26);(240,13);(266,13);(280,0);(333,0);(373,13);(400,26);(413,40);(413,53);(440,133);(440,293);(413,480);(386,640);(373,720);(333,720);(360,626);(386,440);(413,240);(413,146);(400,120);(400,93);(373,66);(373,53);(360,40);(333,26);(320,26);(293,26);(280,26);(320,120);(253,146);(306,200);(226,253);(293,333);(213,386);(266,466);(186,520);(240,706);(0,653);}}{\sp{\sn pSegmentInfo}{\sv 2;106;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;4

5824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9400\shptop3840\shpright9893\shpbottom4693\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2069\shpz10\shpbxpage\shpbypage

{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 493}}{\sp{\sn geoBottom}{\sv 853}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;63;(120,0);(120,26);(93,120);(80,173);(66,226);(26,373);(13,520);(0,586);(0,653);(0,706);(13,760);(26,786);(40,800);(53,813);(66,826);(80,826);(120,840);(173,840);(200,826);(226,826);(240,813);(253,786);(266,786);


23/855

(266,773);(306,733);(320,693);(346,666);(360,613);(373,560);(400,506);(413,453);(440,333);(466,226);(480,133);(506,53);(466,40);(453,106);(426,173);(413,253);(386,360);(360,453);(346,493);(333,546);(320,586);(306,613);(280,653);(266,680);(253,693);(240,720);(226,720);(213,746);(200,746);(186,746);(133,760);(120,746);(213,613);(120,506);(240,453);(146,320);(293,266);(186,133);(346,40);(120,0);}}{\sp{\sn pSegmentInfo}{\sv 2;128;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8973\shptop3306\shpright10426\shpbottom4080\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2070\shpz11\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}

{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1453}}{\sp{\sn geoBottom}{\sv 774}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;101;(280,306);(253,333);(413,346);(560,373);(746,400);(933,426);(1026,440);(1106,453);(1173,480);(1226,493);(1280,506);(1306,533);(1320,546);(1333,560);(1346,586);(1346,600);(1346,626);(1333,640);(1333,653);(1320,653);(1253,653);(1200,640);(1133,626);(1053,613);(960,600);(853,573);(760,560);(653,533);(560,520);(480,493);(400,480);(333,466);(280,453);(226,440);(106,280);(173,280);(120,160);(200,160);(80,0);(26,40);(0,120);(0,200);(13,253);(26,306);(26,360);(40,400);(53,440);(80,453);(120,466);(160,480);(200,506);(226,520);(253,533);(280,533);(306,546);(333,560);(360,573);(400,586);(440,600);(480,613);(520,6

26);(573,640);(600,573);(893,626);(866,733);(920,733);(986,746);(1053,760);(1133,773);(1200,773);(1280,773);(1333,760);(1386,746);(1413,720);(1426,706);(1440,693);(1453,666);(1440,640);(1440,626);(1426,600);(1400,573);(1386,546);(1373,533);(1373,533);(1360,520);(1346,506);(1320,506);(1306,493);(1280,480);(1266,466);(1240,466);(1200,453);(1160,440);(1120,426);(1053,413);(986,400);(840,373);(680,360);(533,333);(400,320);(280,306);}}{\sp{\sn pSegmentInfo}{\sv 2;204;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;4

5824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}


24/855

{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9026\shptop3293\shpright9280\shpbottom3640\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2071\shpz12\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 254}}{\sp{\sn geoBottom}{\sv 347}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;24;(0,26);(40,0);(80,0);(120,13);(173,26);(186,53);(213,66);(240,106);(253,160);(253,226);(240,293);(226,320);(200,346);(213,146);(200,120);(173,93);(173,80);(160,80);(133,66);(106,66);(80,80);(66,80);(53,80);(0,26);}}{\sp{\sn pSegmentInfo}{\sv 2;50;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}

{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9786\shptop4146\shpright9946\shpbottom4293\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2072\shpz13\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 160}}{\sp{\sn geoBottom}{\sv 147}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;9;(40,0);(106,13);(146,53);(160,80);(146,120);(120,14

6);(93,146);(0,133);(40,0);}}{\sp{\sn pSegmentInfo}{\sv 2;20;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9146\shptop4080\shpright9426\shpbottom4173\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2073\shpz14\shpbxpage\shpbypage

{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 280}}{\sp{\sn geoBottom}{\sv 93}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;4;(266,26);(253,93);(0,0);(266,26);}}{\sp{\sn pSegmentInfo}{\sv 2;10;16384;45824;1;45824;1;45824;1;45824;24577;32768}}


25/855

{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft9346\shptop3280\shpright9586\shpbottom3346\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2074\shpz15\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 240}}{\sp{\sn geoBottom}{\sv 66}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;4;(253,13);(240,80);(0,0);(253,13);}}{\sp{\sn pSegmentInfo}{\sv 2;10;16384;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}


{\sp{\sn pVerticies}{\sv 8;9;(13,0);(106,26);(146,53);(160,93);(146,133);(120,146);(93,146);(0,146);(13,0);}}{\sp{\sn pSegmentInfo}{\sv 2;20;16384;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft5386\shptop3493\shpright5653\shpbottom3493\shpfhdr0\shpw

r3\shpwrk0\shpfblwtxt1\shplid2076\shpz17\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 267}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(266,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}


26/855

{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft6306\shptop3493\shpright7413\shpbottom3493\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2077\shpz17\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1107}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(1093,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 6337}}

{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop5320\shpright10440\shpbottom5320\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2078\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}

{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}

{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop5786\shpright10440\shpbottom5786\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2079\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}


27/855

{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop6493\shpright10440\shpbottom6493\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2080\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}

{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop7200\shpright10440\shpbottom7200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2081\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}

{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}

{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop8613\shpright10440\shpbottom8613\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2082\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}


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{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop9786\shpright10440\shpbottom9786\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2083\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}

{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}

{\shp{\*\shpinst\shpleft1800\shptop10720\shpright10440\shpbottom10733\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2084\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}

{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop11426\shpright10440\shpbottom11426\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2085\shpz18\shpbxpage\shpbypage


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{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop12173\shpright10440\shpbottom12173\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2086\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}

{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}

{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop14200\shpright10440\shpbottom14200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2087\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}

{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}


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{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop12920\shpright10440\shpbottom12920\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2088\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1800\shptop7680\shpright10440\shpbottom7680\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2089\shpz18\shpbxpage\shpbypage

{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 8640}}{\sp{\sn geoBottom}{\sv 0}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;2;(0,0);(8640,0);}}{\sp{\sn pSegmentInfo}{\sv 2;5;16384;45824;1;45824;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 9144}}{\sp{\sn lineColor}{\sv 0}}

{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn12240\pghsxn15840\marglsxn666\margrsxn133\margtsxn666\margbsxn386\pard\li9506\ri0\sl-280\slmult0 \fs20\cf0\f0\charscalex100 {1-4}\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1133\ri0\sl-306\slmult0 \fs20\cf0\f0\charscalex100\b {1-14}\b0 \fs20\cf0\f0\charscalex100 { Gravitational acceleration}{ }\fs20\cf0\f0\charscalex100\i {g}\i0 { }\fs20\cf0\f0\charscalex100 {and thus the weightof bodies decreases with increasing elevation. The}\par\pard\li1133\ri0\sl-240\slmult0 \fs20\cf0\f0\charscalex100 {percent reduction in the weight of an airplan

e cruising at 13,000 m is to be determined. }\par\pard\li1133\ri0\sl-266\slmult0 \*\tx4600\fs20\cf0\f0\charscalex100\b \i {Properties}\b0 \i0 \fs20\cf0\f0\charscalex100 { Th

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