A horizontally placed block-and-spring system is initially in equilibrium. The b

Question

A horizontally placed block-and-spring system is initially in equilibrium. The block has a mass of 960 g and the spring constant is 180 N/m. A bullet with mass 8.0 g moving with speed 520 m/s and velocity oriented along the axis of the system, embeds itself in the block, and thus the system is set into oscillations. Assume that the the bullet is embedded almost instantaneously. (a) Find the amplitude of oscillations. (b)the oscillation process to the moment when the block rst reverses its direction of motion.

Explanation / Answer

KE of bullet = 0.5mv2 = 2.08 J PE = 2.08 J = 0.5kx2 => x = 0.152 m a) Amplitude = 0.152 m

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