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Problem 75 Easy Difficulty

A rife bullet with mass 8.00 $\mathrm{g}$ strikes and embeds itself in a block with mass 0.992 kg that rests on a frictionless, horizontal surface and is attached to a coil spring (Fig. 8.43$)$ . The impact compresses the spring 15.0 $\mathrm{cm}$ . Calibration of the spring shows that a force of 0.750 $\mathrm{N}$ is required to compress the spring 0.250 $\mathrm{cm} .(\mathrm{a})$ Find the magnitude of the block's velocity just after impact. (b) What was the initial speed of the bullet?

Answer

(a) $v_{2}=2.60 \mathrm{m} / \mathrm{s}$
(b) $v_{A 1}=325 \mathrm{m} / \mathrm{s}$

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