Find the maximum height through which it rises?

Question

A bullet with a mass of 0.02 lbs is fired with a nozzle velocity of V1 = 2700 ft/sec into a ballistic pendulum with a mass of 20 lbs. Find the maximum height through which it rises?

Answer 1

The maximum height through which the bullet rises is 1.91 feet.

Answer 2

Initial kinetic energy (of the bullet) is all converted to potential energy in the pendulum.

1/2(m_bullet)(v_bullet)² = (m_pendulum)(g)(h_pendulum)

You may wish to convert to SI units to avoid issues but it is not required.