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Question

If the force and displacement of a particle in direction of force are doubled. Work would be


A

Double

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B

4 times

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C

Half

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D

14 times

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Solution

The correct option is B

4 times


Step 1 Given data:

The force(F) and displacement (S)of a particle in direction of force are doubled. That is,

F'=2×F

S'=2×S

Step 2 Formula used:

Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.

That is, W=F×S

Step 3 Work:

The work of a particle in the direction of force is,

W=F×S....(1)

Here, the force(F) and displacement (S)of a particle in the direction of force are doubled,

Therefore the new work is,

W'=2×F×2×SW'=4×F×S....(2)

Substituting equation (1) in equation (2),

W'=4×W

Therefore, if the force and displacement of a particle in direction of force are doubled then the work would be 4 times. Hence, option B is correct.


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