A lead ball weighing 
is hung on a 
long light rope. A bullet made of the same substance as the ball is shot with a velocity of 
into the ball. The mass of the bullet is 
and the collision is central and inelastic.
What is the velocity of the bullet after the collision?
How much height does the ball reach in relation to the initial position?
How much do the ball and bullet heat up due to the inelastic collision? The specific heat capacity of lead is 
. Before the collision, the projectile and the bullet have the same temperature.
