A force of $25 N$ acts on an object of mass $2 k g$ . If its kinetic energy increases from $100 J$ to $200 J$ then the displacement of the object is____.

1 m

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2 m

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3 m

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4 m

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Solution

The correct option is D $4 m$
According to Work-Energy theorem, the net work done by an external force would be equal to the change in the kinetic energy of a body.

Work done = Change in kinetic energy
Change in K.E = $200 - 100 = 100 J$

Work done = $F o r c e \times D i s p l a c e m e n t .$
Force = $25 N$
Displacement = $\frac{100}{25}$ = $4 m$

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A force of 25 N acts on an object of mass 2 kg. If its kinetic energy increases from 100 J to 200 J then the displacement of the object is____.

A force of $25 N$ acts on an object of mass $2 k g$ . If its kinetic energy increases from $100 J$ to $200 J$ then the displacement of the object is____.