A 10 g bullet is fired into, and embeds itself in, a 2 kg block attached to a spring with a force constant of 19.6 n/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block and the block slides on a frictionless surface? Use conservation of momentum.

is the compression in the spring

Explanation:

Given:

Now since the bullet-mass gets embed into the block, we apply the conservation of momentum as:

Now this kinetic energy of the combined mass gets converted into potential energy of the spring.

is the compression in the spring

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