To determine the muzzle velocity of a bullet red from a rifle, you shoot the 2-g bullet into a 2-kg wooden block. the block is suspended by wires from the ceiling and is initially at rest. after the bullet is embedded in the block, the block swings up to a maximum height of 0.5 cm above its initial position.
what is the velocity of the bullet on leaving the gun's barrel?

313.3 m/s

Explanation:

= mass of the bullet = 2 g = 0.002 kg

= mass of the wooden block = 2 kg

= speed of the bullet before collision with block

= Speed of bullet-block combination after collision

= height gained by the combination after collision = 0.5 cm = 0.005 m

Using conservation of energy

Kinetic energy lost by the combination = Potential energy gained

Consider the collision between bullet and block

Using conservation of momentum