Two balls of masses `m_(1)` and `m_(2)` are separated from each other by a powder charge placed between them. The whole system is at rest on the ground. Suddenly the powder charge explodes and masses are pushed apart. The mass `m_(1)` travels a distance `s_(1)` and stops. If the coefficients of friction between the balls and ground are same, the mass `m_(2)` stops after travelling the distance

Options

A. `S_(2) = (m_(1))/(m_(2)) S_(1)`
B. `S_(2) = (m_(2))/(m_(1))S_(1)`
C. `S_(2) = (m_(1)^(2))/(m_(2)^(2)) S_(1)`
D. `S_(2) = (m_(2)^(2))/(m_(1)^(2)) S_(1)`

Answer

C

Explanation

`S prop (l)/(m)`