2. A 3 kg object moves under the influence of the potential energy x² 5(x) = (x − 4)³ – - +5 Shown in the Pic #2. (a) Find the force exerted on the mass at x=2 m. The mass is placed at x-4 and released. Giving it a total energy of 1 J. (b) Write an equation that would allow you to determine where the object will come to rest again (do not solve) Pic #2 S-(Potential Energy) 6 5 4 3 2 1 X 0 4 5 6 -1 -2 -3 0 1 2 I 3 7 00 8 9 4 10

2. A 3 kg object moves under the influence of the potential energy x² 5(x) = (x − 4)³ – - +5 Shown in the Pic #2. (a) Find the force exerted on the mass at x=2 m. The mass is placed at x-4 and released. Giving it a total energy of 1 J. (b) Write an equation that would allow you to determine where the object will come to rest again (do not solve) Pic #2 S-(Potential Energy) 6 5 4 3 2 1 X 0 4 5 6 -1 -2 -3 0 1 2 I 3 7 00 8 9 4 10

Name: 2. A 3 kg object moves under the influence of the potential energy1x2
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Description: 2. A 3 kg object moves under the influence of the potential energy1x2S(x) = (x − 4)³ - 12 +5Shown in the Pic #2.(a) Find the force exerted on the mass at x=2 m.The mass is placed at x=4 and released. Giving it a total energy of 1 J.(b) Write an equa

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 11CQ: A weight is connected to a spring that is suspended vertically from the ceiling. If the weight is...

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One person drops a ball from the top of a building while another person at the bottom observes its motion. Will these two people agree (a) on the value of the gravitational potential energy of the ball-Earth system? (b) On the change in potential energy? (c) On the kinetic energy of the ball at some point in its motion?
. The fastest that a human has run is about 12 m/s. (a) If a pole vaulter could run this fast and convert all of her kinetic energy into gravitational potential energy, how high would she go? (b) Compare this height with the world record in the pole vault.
A system consists of three particles, each of mass 5.00 g, located at the corners of an equilateral triangle with sides of 30.0 cm. (a) Calculate the gravitational potential energy of the system. (b) Assume the particles are released simultaneously. Describe the subsequent motion of each. Will any collisions take place? Explain.
Integrated Concepts A 105-kg basketball player crouches down 0.400 m while waiting to jump. After exerting a force on the floor through this 0.400 m, his feet leave the floor and his center of gravity rises 0.950 m above its normal standing erect position. (a) Using energy considerations, calculate his velocity when he leaves the floor. (b) What average force did he exert on the floor? (Do not neglect the force to support his weight as well as that to accelerate him.) (c) What was his power output during the acceleration phase?
A weight is connected to a spring that is suspended vertically from the ceiling. If the weight is displaced downward from its equilibrium position and released, it will oscillate up and down. (a) If air resistance is neglected, will the total mechanical energy of the system (weight plus Earth plus spring) be conserved? (b) How many forms of potential energy are there for this situation?
Energy is conventionally measured in Calories as well as in joules. One Calorie in nutrition is 1 kilocalorie, which we define in Chapter 11 as 1 kcal = 4 186 J. Metabolizing 1 gram of fat can release 9.00 kcal. A student decides to try to lose weight by exercising. She plans to run up and down the stairs in a football stadium as fast as she can and as many times as necessary. Is this in itself a practical way to lose weight? To evaluate the program, suppose she runs up a flight of 80 steps, each 0.150 m high, in 65.0 s. For simplicity, ignore the energy she uses in coming down (which is small). Assume that a typical efficiency for human muscles is 20.0%. This means that when your body converts 100 J from metabolizing fat, 20 J goes into doing mechanical work (here, climbing stairs). The remainder goes into internal energy. Assume the students mass is 50.0 kg. (a) How many times must she run the flight of stairs to lose 1 pound of fat? (b) What is her average power output, in watts and in horsepower, as she is running up the stairs?