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A massless spring of a spring gun has a force constant k=800 N/m. A ball of...

A massless spring of a spring gun has a force constant k=800 N/m. A ball of mass 0.5 kg is resting on top of the spring. The ball compresses the spring by d as shown in the right figure. When the gun is fired vertically, the ball reached a maximum height of 5 m from the top of the spring as it returns to its natural length. Calculate how much the spring was initially compressed (d).

(a) 12 cm; (b) 25.4 cm; (c) -24.1 cm; (d) 1.2 cm.

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