Answer:
0.42 m
Explanation:
mass of pendulum, M = 1.7 kg
Length of pendulum , l = 1.6 m
mass of bullet, m = 0.01 kg
initial velocity of bullet, u = 828 m/s
final velocity of bullet, v = 340 m/s
initial velocity of pendulum, U = 0
Let the final velocity of pendulum is V.
Use conservation of momentum for bullet and the pendulum
m x u + M x U = m x v + M x V
0.01 x 828 + 1.7 x 0 = 0.01 x 340 + 1.7 x V
8.28 + 0 = 3.4 = 1.7 V
V = 2.87 m/s
Now the kinetic energy of the pendulum is converted into potential energy of pendulum and let it raised to a height of h from the initial level.
Use energy conservation
Kinetic energy of the pendulum = potential energy of the pendulum
0.5 x M x V² = M x g x h
0.5 x 2.87 x 2.87 = 9.8 x h
h = 0.42 m
