Two light trollwys of masses `m_(1)` and `m_(2) (= 3m_(1))` are connected by a spring. The spring is compressed and bound by a cord. The cord is burnt through, the spring expands and the trolleys move off in opposite direction. Assume that the coefficient of friction is the same for both trollwys.

Options

A. The relationship between the velocties `v_(1)` and `v_(2)` of the trolleys is `v_(1)//v_(2) = 3`
B. The relationship between the periods `t_(1)` and `t_(2)` during which the trolleys move `t_(1)//t_(2) = 3`
C. The relationship between the distance `s_(1)` and `s_(2)` travelled by the trolleys is `s_(1)//s_(2) = 3`
D. The relationship between the force of friction `f_(1)` and `f_(2)` acting on the two trolleys is `f_(1)//f_(2) = (1)/(3)`

Answer

A, B, D