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Question

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

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Solution

Kinetic energy is given by the expression,

Where,

= Kinetic energy of the object moving with a velocity, v

m= Mass of the object

(i) Kinetic energy when the object was moving with a velocity 5 m s−1

  1. Kinetic energy when the object was moving with a velocity 2 m s−1

Work done by force is equal to the change in kinetic energy.

Therefore, work done by force =

= 40 − 250 = −210 J

The negative sign indicates that the force is acting in the direction opposite to the motion of the object.


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