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Chapter 10: Q.34 (page 257)

FIGUREEX10.34shows the potential energy of a system in which a particle moves along the x-axis. Draw a graph of the force Fxas a function of position x.

Short Answer

Expert verified

As a function of position x, the graph of the force Fxis,

The component of the force is constant, and it remains negative in direction in half of the journey, while it is positive in the other half.

Step by step solution

01

Force : 

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

02

Explanation : 

On the potential energy diagram, the equation gives the y-component of force,

Fx=-dUdx

Particle's potential energy diagram,

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

At x=0.5m, the x-component of force is,

Fx=0.5=-0-2J0-0.5m=-4J/m=-4N

At x=1m, the x-component of force is,

Fx=1=-2-0J0.5-1m=4J/m=4N

As a function of position x, the graph of the force is,

The component of the force is constant, and it remains negative in direction in half of the journey, while it is positive in the other half.

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