A spring-powered toy launcher uses a spring of constant compressed by to project a ball

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

Problem

A spring-powered toy launcher uses a spring of constant k=400 N/mk=400\,\text{N}/\text{m} compressed by 0.10 m0.10\,\text{m} to project a 50 g50\,\text{g} ball. If 30%30\% of the stored elastic energy is lost to non-useful effects, find the speed with which the ball leaves the launcher. (a) 8.9 m/s8.9\,\text{m/s} (b) 10.6 m/s10.6\,\text{m/s} (c) 7.5 m/s7.5\,\text{m/s} (d) 4.9 m/s4.9\,\text{m/s}

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