A particle of mass m falls from a height h on a mass m and gets stuck to it. Then,

Options

A. acceleration of the pulley - mass system after impact is given by g/5.
B. the height to which 3m mass rises is h/5
C. the height to which 3m mass rises is h/3
D. acceleration of the pulley mass system after impact is g/3

Answer

A, B

Explanation

`a=[(3m-(m+m))/(3m+(m+m))]g=g//5`
`P_(i)=m sqrt(2gh)`
`P_(i)=m sqrt(2gh)`
`P_(i)-l=P_(f)`
`m sqrt(2gh)-l=2mv`
`l = 3mv`
`v=(1)/(5)sqrt(2gh)`
`v^(2)=2gh.`
`h.=((1)/(5)sqrt(2gh))^(2)//(2g)/(5)=(h)/(5)`
`therefore` (A) & (B)