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Chapter 8: Q107P (page 211)

The only force acting on a particle is conservative force F→. If the particle is at point A, the potential energy of the system associated with F→and the particle is 40 J. If the particle moves from point A to point B, the work done on the particle F→by is +25 J . What is the potential energy of the system with the particle at B?

Short Answer

Expert verified

The potential energy of the particle at B is 15 J.

Step by step solution

01

Given data:

Work done, W = 25 J

Potential energy at point A,UA=40J

02

To understand the concept:

When conservative force works on an object, the change in potential energy is negative of work done.

Formula:

The work done is equal to the change in potential energy.

Workdone = - Change in PE

03

Calculate the potential energy of the system with the particle at B:

As work done is as same as the change in potential energy. Therefore,

Workdone=-ChangeinPEW=-UB-UA25J=-UB-40J25J=-UB+40JUB-40-25J=15J

Hence, the potential energy of the system with the particle at B is 15 J .

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