A0.01 kg bullet is fired at a 0.5 kg block initially at rest. the bullet, moving with an initial speed of 400 m/s, emerges from the block with a speed of 300 m/s. what is the speed of the block after the collision?

Use the law of conservation of momentum to solve this problem. We have a system of two bodies (bullet and block). Initially, only the bullet has a non-zero momentum. After the collision, both have some momentum and we know the part for the bullet, so it is simple to isolate the part for the block. Call v_t0 the initial bullet speed, v_t1 new bullet speed, v_k speed of block. (similarly for masses):

The block will move with a speed of 2 m/s in the direction of the bullet.

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explanation: