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Kinetic/Potential Energy (Grades 11-12)

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Kinetic/Potential Energy

Instructions: Read each question carefully. Choose the answer that best fits the question. Short answer response questions must be responded to in complete sentences. If the question involves calculations, you must show all your math work.

An object possesses a total energy of 1139 J when held at a height of 17 m. If the object is then released, how much kinetic energy and potential energy will the object have at a height of 3 m? What will its velocity be at that height?

A 78-kg person walks from the ground to the roof of a 91.44 m tall building. How much gravitational potential energy does she have at the top of the building?

What is the kinetic energy of a 3399.5 lb NASCAR racing car moving at a speed of 200 mph?

A diver has 15872.5 J of gravitational potential energy after stepping up onto a diving platform that is 89 ft above the water. What is the diver’s mass in kilograms?

A toboggan strapped with medical supplies, with a total mass of 31kg, has 9114J of kinetic energy after sledding down a hill. What is the toboggan’s speed in meters per second at the bottom of the hill, and how high was the hill?

The kinetic energy of a boat is calculated at 52,000 J. If the boat has a mass of 39,000 kg, with what velocity is it moving?
  1. 1.63 m/s
  2. 1,014,000 m/s
  3. 163 m/s
  4. None of the Above
On a certain planet, a ball is thrown upward with a kinetic energy of 100 J and an angle of elevation of [math]45deg[/math]. If the ball has a kinetic energy of 75 J at a height of 10 m, what is the maximum height of its trajectory?
  1. 10 m
  2. 20 m
  3. 40 m
  4. 60 m
  5. 80 m
For the following three questions, use the information provided by the scenario below.

You are on a skateboard at the top of a small hill. Your potential energy is equal to 1000 J. Your weight at your last physical was 165 lbs.
What is your weight in Newtons?

What is the height of the hill?

If you start boarding down the hill, your potential energy will be converted to kinetic energy. At the bottom of the hill, what will your velocity be?

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