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Chapter 10: Q.31 (page 257)

A system in which only one particle can move has the potential energy shown in FIGUREEX10.31. What is the y-component of the force on the particle at y=0.5mand 4m?

Short Answer

Expert verified

y-component of force at y=0.5m=-60N.

y-component of force aty=4m=15N.

Step by step solution

01

Force :

The force exerted on a mass item that causes it to alter velocity.

02

Explanation : 

The equation gives the y-component of force on the potential energy diagram.

Fy=-dUdy

Particle's potential energy diagram,

The slope of the potential energy diagram is the y-component of force.

At y=0.5cm, the y-component of force(slope) is,

Fy=0.5=-0-60J0-1m=-60J/m=-60N

Aty=4m, the y-component of force(slope) is,

Fx=15=-60-0J1-5m=15J/m=15N

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Most popular questions from this chapter

A process occurs in which a system’s potential energy increases while the environment does work on the system. Does the system’s kinetic energy increase, decrease, or stay the same? Or is there not enough information to tell? Explain.

FIGUREEX10.28shows the potential energy of a 500gparticle as it moves along the x-axis. Suppose the particle’s mechanical energy is 12J.

a. Where are the particle’s turning points?

b. What is the particle’s speed when it is at x=4.0m?

c. What is the particle’s maximum speed? At what position or positions does this occur?

d. Suppose the particle’s energy is lowered to 4.0J. Can the particle ever be at x=2.0m? Atx=4.0m?

A particle moving along the y-axis is in a system with potential energy U=4y3J, where y is in m. What is the y-component of the force on the particle at y=0m,1m,and2m?

a. If the force on a particle at some point in space is zero, must its potential energy also be zero at that point? Explain.

b. If the potential energy of a particle at some point in space is zero, must the force on it also be zero at that point? Explain.

A process occurs in which a system’s potential energy decreases while the system does work on the environment. Does the system’s kinetic energy increase, decrease, or stay the same? Or is there not enough information to tell? Explain.
See all solutions

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