Part 1 - Problem solving•
1. A small steel ball of mass 2M is fired into a hollow block of mass M suspended on a light string of length L.
Upon collision, the ball become embedded in the block, and the whole system swings up as a ballistic pendulum, as shown below.
The instant
Swinging
Initial point
of collision
up
a. Determine the vector expression for the linear and the angular momentum of the bullet at the initial point shown. No credit will be given for this part unless angular momentum is found using cross product.
b. Is linear momentum conserved during the collision? Explain why or why not.
C. Determine linear velocity right after the collision.
d. Is angular momentum conserved during the collision? Explain why or why not.
e. Determine angular velocity right after the collision. f.
Find the maximum height to which the ballistic pendulum swings.
g. Extra credit (up to 0.5 pt if answered correctly): determine the period of oscillation after the ballistic pendulum swings up.
h.
Extra credit (up to 0.5 pt if answered correctly): is energy conserved during the collision? Explain why or why not.