College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Please answer all questions with work shown (1-16) and please make sure all answers are labeled with their correct question number.
Work Done 1. How much work is done by a girl weighing 500 N when climbing 5.0m up a rope in the school gym? A 60-kg boy lifts himself 0.30m up on a chin-up bar. a. What is the weight of the boy? b. What minimum force must he exert to lift himself? c. How much work does he do with this force? 2. 3. Which requires more work: carrying a 420 N backpack up a 200m high hill, or carrying a 210 N backpack up a 400m high hill? Justify by showing your work below: 4. A 25-kg dog walks up an 8 meter-high ramp at a 30° angle. How much work did the dog do? a. Hint - how long is the ramp? How can you figure that out? b. Hint - what direction is the force relative to the displacement? 5. Diego pulls a 4.50 kg sled across level snow with a force of 225 N for 65.3m. If he pulls the rope at an angle of 35.0* above the horizontal, how much work does Diego do? Calculating KE, U, and Ue 6. A 1600 kg car travels at 12.5 m/s. What is the car's kinetic energy? 7. A6.4 kg bowling ball is lifted 2.1 m into a storage rack. What is the ball's new potential energy? 8. A tennis ball (m = 0.00375 kg) collides with a wall at a speed of 10 m/s. If the tennis ball has a spring constant of 150 N/m, by what distance will the ball compress as it stores elastic potential energy? 9. An archer pulls a bowstring back a distance of 0.30m. If the average applied force is 6.0 N. a. What potential energy is stored in the bowstring? b. What is the spring constant of the bowstring? Work-Energy Theorem 10. An experimental train (m = 2.50 x 10 kg) was powered by a rocket engine that produced 5.00 x 10° N of force. If the track the train traveled on was 509m long. a. What kinetic energy does the train have at the end of the track? b. What is the final velocity of the train at the end of the track? 11. A 10.0 kg test rocket is fired vertically from the launch pad. When the engine runs out of fuel and stops firing, the rocket has 1960 J of kinetic energy. a. How much work did the engine do on the rocket? b. If the rocket achieves an altitude of 100m, what force was the engine exerting on the rocket? (Assume the rocket's mass is constant) 12. Kelli weighs 420 N, and sits on a playground swing that hangs 0.40 m above the ground. Her mom pulls back on the swing and releases it when the seat is 1.0 m above the ground. a. How fast is Kelli moving when the swing passes through its lowest position? b. If Kelli does 10 J of work by pumping her legs, how much higher will the swing reach? Energy Conservation 13. A spring with a spring constant of 200 N/m is compressed 0.15 m. This spring is used to launch a tennis ball with a mass of 2 kg directly up into the air. What is the maximum height above the ground that the tennis ball will reach? 14. You have been hired to make a roller coaster more exciting. The owners want the speed of the car at the bottom of the first hill doubled. How much higher must the first hill be built? 15. A physics book of unknown mass is dropped from a height of 4.50m. What speed will the book have just before hitting the ground? 16. From what height would a car have to be dropped in order to have the same kinetic energy as when it is being driven at 100 km/h?
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Transcribed Image Text:Work Done 1. How much work is done by a girl weighing 500 N when climbing 5.0m up a rope in the school gym? A 60-kg boy lifts himself 0.30m up on a chin-up bar. a. What is the weight of the boy? b. What minimum force must he exert to lift himself? c. How much work does he do with this force? 2. 3. Which requires more work: carrying a 420 N backpack up a 200m high hill, or carrying a 210 N backpack up a 400m high hill? Justify by showing your work below: 4. A 25-kg dog walks up an 8 meter-high ramp at a 30° angle. How much work did the dog do? a. Hint - how long is the ramp? How can you figure that out? b. Hint - what direction is the force relative to the displacement? 5. Diego pulls a 4.50 kg sled across level snow with a force of 225 N for 65.3m. If he pulls the rope at an angle of 35.0* above the horizontal, how much work does Diego do? Calculating KE, U, and Ue 6. A 1600 kg car travels at 12.5 m/s. What is the car's kinetic energy? 7. A6.4 kg bowling ball is lifted 2.1 m into a storage rack. What is the ball's new potential energy? 8. A tennis ball (m = 0.00375 kg) collides with a wall at a speed of 10 m/s. If the tennis ball has a spring constant of 150 N/m, by what distance will the ball compress as it stores elastic potential energy? 9. An archer pulls a bowstring back a distance of 0.30m. If the average applied force is 6.0 N. a. What potential energy is stored in the bowstring? b. What is the spring constant of the bowstring? Work-Energy Theorem 10. An experimental train (m = 2.50 x 10 kg) was powered by a rocket engine that produced 5.00 x 10° N of force. If the track the train traveled on was 509m long. a. What kinetic energy does the train have at the end of the track? b. What is the final velocity of the train at the end of the track? 11. A 10.0 kg test rocket is fired vertically from the launch pad. When the engine runs out of fuel and stops firing, the rocket has 1960 J of kinetic energy. a. How much work did the engine do on the rocket? b. If the rocket achieves an altitude of 100m, what force was the engine exerting on the rocket? (Assume the rocket's mass is constant) 12. Kelli weighs 420 N, and sits on a playground swing that hangs 0.40 m above the ground. Her mom pulls back on the swing and releases it when the seat is 1.0 m above the ground. a. How fast is Kelli moving when the swing passes through its lowest position? b. If Kelli does 10 J of work by pumping her legs, how much higher will the swing reach? Energy Conservation 13. A spring with a spring constant of 200 N/m is compressed 0.15 m. This spring is used to launch a tennis ball with a mass of 2 kg directly up into the air. What is the maximum height above the ground that the tennis ball will reach? 14. You have been hired to make a roller coaster more exciting. The owners want the speed of the car at the bottom of the first hill doubled. How much higher must the first hill be built? 15. A physics book of unknown mass is dropped from a height of 4.50m. What speed will the book have just before hitting the ground? 16. From what height would a car have to be dropped in order to have the same kinetic energy as when it is being driven at 100 km/h?
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