Explanation Given information: The mass of the car is 1000 kg , the force constant of the bumper which is behaves like a spring is 5.00 × 10 6 N / m and the compressed distance is 3.16 cm . The formula to calculate kinetic energy of the car is, K E c = 1 2 m v 2 m is the mass of car. v is the speed of car before the collision. The formula to calculate potential energy of the spring is, K E s = 1 2 k x 2 x is the compressed distance. k is the force constant of the spring The kinetic energy of the car before it hits the spring is equal to the potential energy or stored energy of the spring. Then, K E c = K E s Substitute 1 2 m v 2 for K E c and 1 2 k x 2 for K E s in the above expression and rearrange for v . 1 2 m v 2 = 1 2 k x 2 m v 2 = k x 2 v 2 = k x 2 m v = k x 2 m Substitute 1000 kg for m , 5

Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

9th Edition

ISBN: 9781305372337

Author: Raymond A. Serway | John W. Jewett

Publisher: Cengage Learning

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Chapter 15, Problem 21P

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The speed of the car before the collision.

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Chapter 15, Problem 20P

Chapter 15, Problem 22P

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Chapter 15 Solutions

Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

Ch. 15.1 - A block on the end of a spring is pulled to...Ch. 15.2 - Consider a graphical representation (Fig. 15.3) of...Ch. 15.2 - shows two curves representing particles undergoing...Ch. 15.2 - An object of mass m is hung from a spring and set...Ch. 15.4 - The ball in Figure 15.13 moves in a circle of...Ch. 15.5 - The grandfather clock in the opening storyline...Ch. 15 - Prob. 1OQ Ch. 15 - Prob. 2OQ Ch. 15 - Prob. 3OQ Ch. 15 - Prob. 4OQ

Ch. 15 - Prob. 5OQ Ch. 15 - Prob. 6OQ Ch. 15 - Prob. 7OQ Ch. 15 - Prob. 8OQ Ch. 15 - Prob. 9OQ Ch. 15 - Prob. 10OQ Ch. 15 - Prob. 11OQ Ch. 15 - Prob. 12OQ Ch. 15 - Prob. 13OQ Ch. 15 - Prob. 14OQ Ch. 15 - Prob. 15OQ Ch. 15 - Prob. 16OQ Ch. 15 - Prob. 17OQ Ch. 15 - Prob. 1CQ Ch. 15 - Prob. 2CQ Ch. 15 - Prob. 3CQ Ch. 15 - Prob. 4CQ Ch. 15 - Prob. 5CQ Ch. 15 - Prob. 6CQ Ch. 15 - Prob. 7CQ Ch. 15 - Prob. 8CQ Ch. 15 - Prob. 9CQ Ch. 15 - Prob. 10CQ Ch. 15 - Prob. 11CQ Ch. 15 - Prob. 12CQ Ch. 15 - Prob. 13CQ Ch. 15 - A 0.60-kg block attached to a spring with force...Ch. 15 - Prob. 2P Ch. 15 - Prob. 3P Ch. 15 - Prob. 4P Ch. 15 - The position of a particle is given by the...Ch. 15 - A piston in a gasoline engine is in simple...Ch. 15 - Prob. 7P Ch. 15 - Prob. 8P Ch. 15 - Prob. 9P Ch. 15 - Prob. 10P Ch. 15 - Prob. 11P Ch. 15 - Prob. 12P Ch. 15 - Review. A particle moves along the x axis. It is...Ch. 15 - Prob. 14P Ch. 15 - A particle moving along the x axis in simple...Ch. 15 - The initial position, velocity, and acceleration...Ch. 15 - Prob. 17P Ch. 15 - Prob. 18P Ch. 15 - Prob. 19P Ch. 15 - You attach an object to the bottom end of a...Ch. 15 - Prob. 21P Ch. 15 - Prob. 22P Ch. 15 - Prob. 23P Ch. 15 - Prob. 24P Ch. 15 - Prob. 25P Ch. 15 - Prob. 26P Ch. 15 - Prob. 27P Ch. 15 - Prob. 28P Ch. 15 - A simple harmonic oscillator of amplitude A has a...Ch. 15 - Review. A 65.0-kg bungee jumper steps off a bridge...Ch. 15 - Review. A 0.250-kg block resting on a...Ch. 15 - Prob. 32P Ch. 15 - Prob. 33P Ch. 15 - A seconds pendulum is one that moves through its...Ch. 15 - A simple pendulum makes 120 complete oscillations...Ch. 15 - A particle of mass m slides without friction...Ch. 15 - A physical pendulum in the form of a planar object...Ch. 15 - Prob. 38P Ch. 15 - Prob. 39P Ch. 15 - Consider the physical pendulum of Figure 15.16....Ch. 15 - Prob. 41P Ch. 15 - Prob. 42P Ch. 15 - Prob. 43P Ch. 15 - Prob. 44P Ch. 15 - A watch balance wheel (Fig. P15.25) has a period...Ch. 15 - Prob. 46P Ch. 15 - Prob. 47P Ch. 15 - Show that the time rate of change of mechanical...Ch. 15 - Show that Equation 15.32 is a solution of Equation...Ch. 15 - Prob. 50P Ch. 15 - Prob. 51P Ch. 15 - Prob. 52P Ch. 15 - Prob. 53P Ch. 15 - Considering an undamped, forced oscillator (b =...Ch. 15 - Prob. 55P Ch. 15 - Prob. 56AP Ch. 15 - An object of mass m moves in simple harmonic...Ch. 15 - Prob. 58AP Ch. 15 - Prob. 59AP Ch. 15 - Prob. 60AP Ch. 15 - Four people, each with a mass of 72.4 kg, are in a...Ch. 15 - Prob. 62AP Ch. 15 - Prob. 63AP Ch. 15 - An object attached to a spring vibrates with...Ch. 15 - Prob. 65AP Ch. 15 - Prob. 66AP Ch. 15 - A pendulum of length L and mass M has a spring of...Ch. 15 - A block of mass m is connected to two springs of...Ch. 15 - Prob. 69AP Ch. 15 - Prob. 70AP Ch. 15 - Review. A particle of mass 4.00 kg is attached to...Ch. 15 - Prob. 72AP Ch. 15 - Prob. 73AP Ch. 15 - Prob. 74AP Ch. 15 - Prob. 75AP Ch. 15 - Review. A light balloon filled with helium of...Ch. 15 - Prob. 78AP Ch. 15 - A particle with a mass of 0.500 kg is attached to...Ch. 15 - Prob. 80AP Ch. 15 - Review. A lobstermans buoy is a solid wooden...Ch. 15 - Prob. 82AP Ch. 15 - Prob. 83AP Ch. 15 - A smaller disk of radius r and mass m is attached...Ch. 15 - Prob. 85CP Ch. 15 - Prob. 86CP Ch. 15 - Prob. 87CP Ch. 15 - Prob. 88CP Ch. 15 - A light, cubical container of volume a3 is...

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