A bullet (m = 0.0290 kg) is fired with a speed of 94.00 m/s and hits a block (M = 2.70 kg) supported by two light strings as shown, stopping quickly. Find the height to which the block rises

Answer 1

problem 1 is conservation of momentum
m (v) + M(0) = (M+m)V

problem 2 is conservation of energy
Ke after collision = (1/2)(m+M)V^2
which = (M+m)g h