A cart and a cart are tied together and move along a frictionless track at in the…

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A 10 kg10\,\text{kg} cart and a 2 kg2\,\text{kg} cart are tied together and move along a frictionless track at 2 m/s2\,\text{m/s} in the same direction. The string suddenly breaks and the lighter cart is pushed backward by an internal spring so that the heavier cart continues forward at 2.5 m/s2.5\,\text{m/s}. Calculate the speed of the lighter cart immediately after the separation (take the forward direction as positive). (a) 0.5 m/s0.5\,\text{m/s} forward (b) 2.5 m/s2.5\,\text{m/s} backward (c) 0.5 m/s0.5\,\text{m/s} backward (d) 1.0 m/s1.0\,\text{m/s} backward

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