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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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