a 24 gramme bullet travelling at 198m/s buries itself in a 6.5kg pendulum hanging on a 2.2 m length of string, which makes the pendulum swing in an arc. determine the horizontal component of the displacement of the pendulum.

Answer 1

We need the velocity of the bullet-block system, so by conservation of momentum
m1v1 = (m1+m2)vf
solve for vf
Now we do conservation of energy:
1/2(m1+m2)vf^2 = (m1+m2)gh
solve for h

and don't forget to convert gms to kgs