Question

SSC Test Questions

If two bodies of different masses, initially at rest, are acted upon by the same force for the same time, then the both bodies acquire the same

Answer 1

If two bodies of different masses, initially at rest, are acted upon by the same force for the same time, then the both bodies acquire the same momentum

Answer 2

u1 = 0        u2 =  0    initial speeds
let  m1  >=  m2

F = m1  a1  = m2 a2
The force acts on the two bodies for the same time duration Δt

Hence,  F * Δt = change in momentum
                     = final momentum,   as initial momentum = 0.

So the final momentum is same for both.  The body with higher mass will have less speed.