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Science

Certain force acting on a 20 kg mass changes its velocity from 5 ms-1 to 2 ms-1. Calculate the work done by the force.

Work, Energy & Power

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Answer

Given,

Initial velocity u = 5 ms-1

Mass of the body = 20 kg

Final velocity v = 2 ms-1

Initial kinetic energy

Ei = 12\dfrac{1}{2}mu2

Substituting we get,

Ei = 12\dfrac{1}{2} x 20 x 52
= 10 × 25
= 250 J

Final kinetic energy

Ef = 12\dfrac{1}{2}mv2
= 12\dfrac{1}{2} x 20 x 22
= 10 × 4
= 40 J

As, Work done = Change in kinetic energy = Ef – Ei

Work done = 40 J - 250 J

Work done = -210 J

Hence, work done by the force = -210 J.

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