A bullet of mass 0.020 kg collides with and is embedded in a pendulum bob of mass 0.750 kg, which is initially at rest. The pendulum rises to a...

A bullet of mass 0.020 kg collides with and is embedded in a pendulum bob of mass 0.750 kg, which is initially at rest. The pendulum rises to a maximum height of 1.55 m after the collision.

a) What is the velocity of the bullet+pendulum immediately after the collision?

b) What is the velocity of the bullet just before the collision?

c) What is the kinetic energy of the system before and after the collision?

d) Is kinetic energy conserved in the collision? Why or why not?