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

a) directly proportional to mass m

b)inversely proportional to mass m

c) inversely proportional to mass m to the power 12

d) independent of mass m

Dear Student!

Acceleration:a=FMWhere F = Constant forceM = Mass of the bodyVelocity acquired after travelling a fixed distance d:v=u2+2as  =02+2FMd  =2FdMKinetic energy acquired:KE=12Mv2      =12M2FdM2      =12M2FdM      =Fd       =Work doneThe kinetic energy acquired by the body is equal to work done.So, clearly option (d) is the right answer.

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