A force of magnitude 25 N acting on a body of mass 2 kg doubles its kinetic energy to 200 J. The displacement of the body during this interval is:
Given: force, F=25 N, mass, m=2 kg,
change in kinetic energy = final kinetic energy - initial kinetic energy =(200−100) J=100 J
Let the displacement of the body be s and the work done be W:
According to work-energy theorem:
Work done = change in kinetic energy of the body.
∴W=100 J
We know,
Work done = Force × displacement.
⇒s=WF=10025=4 m
Therefore, the displacement of the body is 4 m.