A 20g rifle bullet traveling 200m/s buries itself in a 3.3kg pendulum hanging on a 3.0m long string, which makes the pendulum swing upward in an arc.

Determine the vertical and horizontal components of the pendulum's maximum displacement.

3 answers

conservationof momentum
0.020*200=(3.300+0.020)v solve for v, velocity of the pendulum after impact.

Now conservation of energy

totalmass*g*height=1/2 m v^2
solve for height the pendulum swings.
Then horizontal comes from diagram

Costheta=(3.0-h)/3.0
solve for theta
horiz distance=3.0 Tan Theta

oil