A spring-loaded gun is cocked by compressing a short,

Chapter , Problem 96

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A spring-loaded gun is cocked by compressing a short, strong spring by a distance d. It fires a signal flare of mass m directly upward. The flare has speed as it leaves the spring and is observed to rise to a maximum height h above the point where it leaves the spring. After it leaves the spring, effects of drag force by the air on the flare are significant. (Express answers in terms of m, d, h, and g.) (a) How much work is done on the spring during the compression? (b) What is the value of the force constant k? (c) Between the time of firing and the time at which maximum elevation is reached, how much mechanical energy is dissipated into thermal energy?

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