Two bodies of different masses m1 and m2 (m1>m2) have same kinetic energy . They are stopped by applying some retarding force . Which body will stop first ?

Hello,

Both blocks stop together.

Because  KE₁ = KE₂

There is need of same amount of work done by us to stop them.

So W₁ = W₂

=> F₁ s₁  = F₂ s₂

Here,  F₁ = F₂

Hence, s₁ = s₂

Distance covered by both blocks is same before stop.