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# A particle moves along the x-axis while acted on by a ISBN: 9780321675460 31

## Solution for problem 86P Chapter 7

University Physics | 13th Edition

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Problem 86P

A particle moves along the x-axis while acted on by a single conservative force parallel to the x-axis. The force corresponds to the potential-energy function graphed in ?Fig. P7.76?. The particle is released from rest at point A. (a) What is the direction of the force on the particle when it is at point A? (b) At point B? (c) At what value of x is the kinetic energy of the particle a maximum? (d) What is the force on the particle when it is at point C? (e) What is the largest value of x reached by the particle during its motion? (f) What value or values of x correspond to points of stable equilibrium? (g) Of unstable equilibrium?

Step-by-Step Solution:

Solution 86P Step 1: Etotal K + U Initially,the particle is released from the rest position point A means K = 1/2 mv = 0 Step 2: (a).F = dU/dX at A. slope is negative so F is positive or repulsive,so A to right (b). at B. slope is positive so F is negative or attractive,Bo F to left Force always push particle to lowest potential,increasing kinetic energy. Step 3: (c). K = E U Kmax at 0.75 at the minimum of U(x) K at x = A min K = 0 since E total U( x = A) Step 4: (d).The force on the particle at point C is At point C dU/dX = 0 then F = 0 F = 0 means unstable equilibrium.coin on edge is stable.

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##### ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 86P from 7 chapter was answered, more than 772 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 86P from chapter: 7 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: particle, point, Force, axis, Equilibrium. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “A particle moves along the x-axis while acted on by a single conservative force parallel to the x-axis. The force corresponds to the potential-energy function graphed in ?Fig. P7.76?. The particle is released from rest at point A. (a) What is the direction of the force on the particle when it is at point A? (b) At point B? (c) At what value of x is the kinetic energy of the particle a maximum? (d) What is the force on the particle when it is at point C? (e) What is the largest value of x reached by the particle during its motion? (f) What value or values of x correspond to points of stable equilibrium? (g) Of unstable equilibrium?” is broken down into a number of easy to follow steps, and 120 words.

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