Question

Two masses, one $\alpha$ times heavier than the other are dropped from same height. How do their momentum compare just before they hit the ground?

Answer 1

We know momentum of an object is expresses as $P=mass\times velocity$

Let mass of object = m and as per given condition mass of other object $=\alpha m$

As the object in under free fall condition its velocity will remain same,thus we can relate the momentum of two objects by the expression

$\frac{P_1}{m}$ =$\frac{P_2}{\alpha m}\alpha P_1=P_2$