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Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

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Page 1: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Class Notes 11-30 ps

Hand back Papers

Grades

Solving Problems through calculations

Page 2: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Steps to solve problems

1) Identify GIVENS, and what is WANTED2) DRAW pictures and LABEL values3) IDENTIFY the EQUATION that connects

givens and what is wanted4) CONVERT units, if needed5) PLUG in values, including constants6) Solve, DO the MATH7) CHECK answer, units

Page 3: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Watch out for the hidden values!

Page 4: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Goal of session

• Answer the questions placed around the room• Students may precede in any order• SHOW WORK!! For each problem state:

– Givens– What is wanted– Equation– Conversions done– Values plugged into equation– Answer with units

Page 5: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

• F = ma • GPE = mgh• p=mv• P= W/t• W = Fd• a = (vf -vi)/t• KE = ½mv2 • MA = Fo / fi

Page 6: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Remember…

That I used 9.8 as the acceleration due to gravity and a

rounded some of the answers

Page 7: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #1

• A force of 6.2 x 105 N is needed to blast off a 5.0 x 103 kg rocket from rest. What is the rocket’s average acceleration?

• Answer: 124 m/s2

Page 8: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #2

• How much does a 59.0 kg woman weigh on Earth?

• Answer 578.2 N

Page 9: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #3

• A coin falls from rest from the balcony of a building. If it takes 2.7 s for it to hit the ground, what is the final velocity of the coin?

• Answer : 26.5 m/s

Page 10: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #4

• An object has a kinetic energy of 810 J after falling a certain distance. If the mass of the object is 20 kg, what is the speed of the object at this time?

• Answer: 9 m/s

Page 11: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #5

• The brakes on a car exert a frictional force of 6000N in getting the car to stop. If the work done by the brakes is 120,000 J in coming to a stop, how many meters did the car travel after the driver applied the brakes?

• Answer: 20 m

Page 12: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #6

• An object weighing 75 N is dropped from the top of a building and falls a distance of 28 m to the ground. How much work does gravity do on the object from the time it is dropped to the time it hits the ground?

• Answer: 2100 J

Page 13: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #7

• A weightlifter presses a 400 N weight 0.5 m over his head in 2 seconds. What is the power of the weightlifter?

• Answer: 100 W

Page 14: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #8

• Calculate the gravitational potential energy relative to the ground when an 82 kg person climbs to the top of a 2.0 m stepladder.

• Answer: 1607 J

Page 15: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #9

• A crane has a mechanical advantage of 27. An input force of 8650 N is used by the crane to lift a pile of steel girders. What is the weight of the girders?

• Answer: 233550 N

Page 16: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #11

• A commercial plane travels at a velocity of 234 m/s. The plane has 253 people seated onboard. If the average person on the plane has a mass of 68,000 g, what is the momentum of the passengers on the plane?

• Answer 4,026,000 kg m/s

Page 17: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #12

• A school bus can accelerate from a complete stop at 1.3 m/s2. How long will it take the bus to reach a velocity of 12.1 m/s?

• Answer: 9.31 s

Page 18: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Question #13

• A cat sits on top of a fence that is 2.0 m high. The cat has a GPE of 88.9 kJ . What is the mass of the cat?

• Answer: 1,742,000 J

Page 19: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Old Homework

• 858,859 111-125?

• Homework to be handed in tomorrow!– Page 858: 101-103, 106-108– Page 857:96-98– Page 852: 6-9

Page 20: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Scientific Notation

• A way to write very large or very small

• Convert number to a specific form (set-up)

A number between 1-10 x 10 to an exponent

Positive exponents for large #

Negative exponents for small #

Page 21: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Examples

• 2,407,000 =

Page 22: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Examples

• 0.000305=

Page 23: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Try

• 6,907,800,000

• Answer

• 6.9078 x109

Page 24: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Try

• 0.000 000 080 07

• Answer:

• 8.007 x 10-8

Page 25: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Conservation of energy equation

• GPEi + KEi = GPEf = KEf

• The total amount of energy is constant, but the amount in each form may change

• If there is a gain in KE, there is a loss in GPE

Page 26: Class Notes 11-30 ps Hand back Papers Grades Solving Problems through calculations

Cliff Diving