(a) Two masses one n times heavier than the other are dropped from same height. How do their momentum compare just before they hit the ground ?
(b) Two masses one n times heavy as the other heave equal knetic energy. How do their momentum compare ?

Explanation

(a) When dropped from same height, the two masses hit the ground with same velocity `=sqrt(2gh)`
`:. (P_(2))/(P_(1))=(m_(2))/(m_(1))=n`
(b) We know that K.E., `K=(p^(2))/(2m)`
`:. P=sqrt(2mK)`
As K is same, `(p_(2))/(p_(1))=sqrt((m_(2))/(m_(1)))=sqrt(n)`