A 5 g bullet moving with an initial speed of 530 m/s is fired into and passes through a 2 kg block. the block, initially at rest, on a frictionless horizontal surface, is connected to a spring with force constant 800 N/m. the block moves 6 cm to the right after impact before being brought to rest by the spring.
a) find the speed of the block just after the impact.
b) find the speed at which the bullet emerges from the block.
c) what quantity is conserved in this collision? is mechanical energy of the bullet-block-system conserved during the collision?