Two carts of masses `200 kg` and `300 kg` on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the `200 kg` cart travels a distance of `36 m` and stops. Then the distance travelled by the cart weighing `300 kg` is : (if both have same initial speed)
.

Options

A. 32 m
B. 24 m
C. 16 m
D. 12 m

Answer

C

Explanation

`(S_(1))/(S_(2)) = ((m_(2))/(m_(1)))^(2)`
`implies (36)/(S_(2)) = ((300)/(200))^(2) implies S_(2) = (36 xx 4)/(9) implies 16m`