A force of magnitude 25 N acting on a body of mass 2 kg increases its kinetic energy from 100 J to 200 J. The displacement of the body(in metres) during this interval is

2 m

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4 m

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6 m

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8 m

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Solution

The correct option is B
4 m

According to work-energy theorem, work done by the force would be equal to the change in kinetic energy of the body. The change in kinetic energy is equal to 200-100=100 J and we know that:

Work done = Force x Displacement.

Therefore, 100 = 25 x Displacement. So, from here we have displacement $= \frac{100}{25} = 4$ m.

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