Physics

Problem

10\,\text{kg}

cart and a

2\,\text{kg}

cart are tied together and move along a frictionless track at

2\,\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\,\text{m/s}

. Calculate the speed of the lighter cart immediately after the separation (take the forward direction as positive). a)

0.5\,\text{m/s}

forward b)

2.5\,\text{m/s}

backward c)

0.5\,\text{m/s}

backward d)

1.0\,\text{m/s}

backward

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