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8/19/2019 SPH3U December 2014 Exam Practice
http://slidepdf.com/reader/full/sph3u-december-2014-exam-practice 1/4
SPH3U December 2014 Exam Practice ProblemsConstants and formulae (These will be provided):
t d
v∆
∆=
t vv
t v
a av ∆
−=
∆
∆= 12 12 d d d −=∆
t d v
∆∆= 12 f f f b −=
f T 1=
λ f v = v = 332 m/s + 0.6T
o s
s
vvv f
f ±
= 12
Speed of light:c = 3.0 10 ! m/s
1
2
2
1
1
2
1
2
2
1
ρ
ρ ×××=
T
T d d
L L
f f
Prefixes: ( ou s!ould "no# t!e $refixes t!at are in bold t%$e&
gig" (#) me'a( &
"ilo ("& he$to (h) de$"(d")
de$i (d) centi (c& milli(m&
micro( &
nano (n& pi$o (p)
10% 10 6 10 3 102 101 10&1 10&2 10&3 10&6 10&% 10&12
easurement) Unit Con*ersions) Si'nificant +i'ures
1. #"be's f"mil $"r h"s " * $o ve tio "l speedometer displ" i g speed i metres per se$o d. ,f #"begoes for " -o ride " d drives 13. m/s how f"st is he goi g i m/h ( !.6 m/h)
2. sh" dis$overs " m sterio*s ew r"dio"$tive eleme t " d "mes it "lvi ebertsi*m observi g th"t itloses 0.003 0 g of m"ss ever wee . 45press this *mber i terms of mi$rogr"ms/mi *te ( g/mi ).(3 7 g/mi )
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,a*es and Sound Unit
3. " 8"ri" f"lls thro*gh the i$e o " $old wi ter d" (& 9 ) " d 00 m "w" from her sled dogte"m. 8e" while essi$" fi ds herself me "$ed b " #re"t ;hite <o" sh"r while swimmi g i the#*lf of 8e5i$o (30 9 ) 00 m "w" from <"*re the lifeg*"rd. ,f both of them $"ll for help whowill be he"rd first (b the sled dog te"m or b the lifeg*"rd) " d how m*$h f"ster will the $r "rrive(i se$o ds) ( essi$" b 0.073 s)
. ile si gs " ote while sitti g o " flo"t i the " *"l h" * "h/S" t" l"*s p"r"de with perfe$t pit$h "t 00 >? " d @i $e he"rs it "s " 20 >? ote. ss*mi g the speed of so* d is 3 m/s howf"st is the flo"t movi g " d is he movi g "w" or tow"rds @i $e (16. m/s movi g tow"rds)
. 8"*de dis$overs " ope &e ded pipe th"t is 7 $m lo g " d "fter be"ti g off "r" " d "ss" dr" for possessio of it de$ides th"t it wo*ld be perfe$t for m" i g " wi d i str*me t. ss*mi g " speed ofso* d of 3 m/s wh"t "re the w"vele gths " d freA*e $ies of the first 3 reso " t modes for thet*be S et$h the res*lti g st" di g w"ve for e"$h reso " t mode. (1. m 22% >?B 0.7 m % >?B0. m 6!! >?)
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-inematics ( otion& Unit
6. 4lliot tests o*t his protot pe ste"lth lo gbo"rd i $re"si g speed smoot!l% from " stop to 1 m/s i -*st 10 s. (") S et$h " velo$it &time gr"ph " d *se this to "lso s et$h positio &time " d "$$eler"tio &time gr"phs " d " motio m"p for his motio . Ci d v"l*es for " d l"bel o o*r gr"phs thefollowi g: i iti"l " d fi "l velo$ities i iti"l " d fi "l positio s " d "$$eler"tio (0 m/s 1 m/sDfwdE 0 m 7 m DfwdE 1. m/s2 DfwdE) . (b) Ci d his displ"$eme t b *si g o*r velo$it &timegr"ph. (displ"$eme t is 7 m DfwdE)
7. F*i to " d F*i $ dis$over o e of 4lliot's "b" do ed e"rlier ide"s " ste"lth wheel$h"ir " d "rel"ter observed slowi g dow smoothl from 1 m/s to m/s "t 2 m/s 2. (") >ow lo g does it t" e forthem to re"$h their fi "l velo$it ( s) (b) Gr"w velo$it &time positio &time " d "$$eler"tio &timegr"phs for their motio "ss*mi g th"t the positio "t whi$h the begi slowi g is the origi . (b) Ci d
their displ"$eme t while slowi g dow b *si g o*r velo$it &time gr"ph. (displ"$eme t is 0 mDfwdE)
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!. white mo*se st"rti g 30 m DHE of its hole (the origi ) s$"mpers tow"rd its hole "t " $o st" tvelo$it of 2.0 m/s DSE. bl"$ $"t st"rti g 60 m DHE of the hole st"rts r* i g "t e5"$tl the s"metime "t " $o st" t velo$it of .0 m/s DSE. Isi g the mo*se hole "s the origi s et$h the positio &timegr"phs " d the velo$it &time gr"phs for this wildlife dr"m" (dr"w the positio &time gr"phs for both$"t " d mo*se $omi g "ll the w" b"$ to the hole). Ise the velo$it &time gr"ph to determi e themo*se's displ"$eme t whe the $"t re"$hes the hole. (2 m DSE)