Two trolleys of masses m and 3 m are connected by aspring. The spring is compressed and released the trolleys move off in opposite directions and come to rest after travelling distances s, and s, respectively. Assuming coefficient of friction is same for both the ratio of sto `s_(1)` to `s_(2)` is

Options

A. `1:9`
B. `1:3`
C. `3:1`
D. `9:1`

Answer

c

Explanation

Work done , W=mumgs[On arough surface]
For first body, `b_(1),w_(1)=mumgs_(1)`
second body,` b_(2) w_(2)= mu(3m)gs_(2)`
` w_(1) =w_(2)`
`mumgs_(1)=mu(3m)gs_(2)`
`s1/s2=3/1`
`s_(1):s_(2)= 3:1`