the kinetic energy acquired by a body of mass m after travelling a fixed distance from rest under the action - Science - Work and Energy

Question

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

Shikha Bhadoria · Accepted Answer

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

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

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