Two toy carts

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Two toy carts, one of mass 2 kg2\,\text{kg} and the other of mass 8 kg8\,\text{kg}, are initially at rest on a smooth floor. The same amount of work, 40 J40\,\text{J}, is done on each cart. What is the ratio of the final speed of the lighter cart to that of the heavier cart? (a) 4:14:1 (b) 1:21:2 (c) 2:12:1 (d) 1:11:1

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