Question

Two carts on horizontal straight rails are pushed apart by an

explosion of a powder charge Q placed between the carts. Suppose the coefficients of friction between the carts and rails are identical. If the 200 kg cart travels a distance of 36 metres and stops, the distance covered by the cart weighing 300 kg is

• A. 32 metres
• B. 24 metres
• C. 16 metres
• D. 12 metres

Answer 1

Answer: (C)

16 metres

Answer 2

Kinetic energy of cart will goes against friction

∴ $s = \frac { P ^ { 2 } } { 2 \mu g m ^ { 2 } }$

As the two carts pushed apart by an explosion therefore they possess same linear momentum and coefficient of friction is same for both carts (given). Therefore the distance covered by the cart before coming to rest is given by

$s \propto \frac { 1 } { m ^ { 2 } }$

∴ .