Is it true if the velocity of a body moving in a straight line is increased by a constant force F, then the change in kinetic energy of the body is equal to the work done by the force on the body?

# Is it true if the velocity of a body moving in a straight line is increased by a constant force, then the change in kinetic energy of the body is equal to the work done by the force on the body?

1. A
True
2. B
False

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### Solution:

The above statement is true.
We know the third equation of motion,
${⇒v}^{2}-{u}^{2}=2\mathit{as}$
$s=\frac{\left({v}^{2}-{u}^{2}\right)}{2a}$
Work done Force$×$ Displacement

(since $F=\mathit{ma}$)

So, work done $=$ Change in Kinetic Energy
Therefore, the work done by the force is equal to the change in kinetic energy of the body.

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