# Two bodies P and Q are of mass m and 5 m and with velocities v & 5 v respectively. Assuming bodies are moving with uniform velocities, compare the force required to stop them.

Momentum is given as P = m v

So Initial momentum of P=mv

final momentum of P=0

change in the momentum of P=mv

Similarly

The initial momentum of Q=25mv

final momentum of P=0

change in the momentum of P=25mv

Let F= force required to stop them

and F is given as

$F=\frac{change \ in \ momentum}{time}=\frac{\Delta P}{t}$

Let t is same for both of them

So for P

$F_P =\frac{mv}{t}$

And for Q

$F_Q=\frac{25mv}{t}$

So

$\frac{F_P}{F_Q}=\frac{1}{25}$

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