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Question

The kinetic energy acquired by the body of mass 'm'after traveling a fixed distance from rest under the action of a constant force is


A

directly proportional to mass m

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B

inversely proportional to mass m

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C

inversely proportional to mass m12

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D

independent of mass m

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Solution

The correct option is D

independent of mass m


According to the question, we have given that

The kinetic energy acquired by the body of mass 'm'after traveling a fixed distance from rest under the action of a constant force

K.E=12mv2.......(i)

To calculate the velocity of kinetic energy. Use the equation of motion of velocity.

v2=u2+2asv2=0+2asv2=2as.........(ii)Fromequation(i)and(ii)K.E=12m×2asK.E=12m×2FmsK.E=F.sconstant

Thus, the kinetic energy in the given case is independent of the mass of the body.

Hence, option D is the correct answer.


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