A putty of mass 0.06 kg is droppe at height h = 1 m above a horizontal rod. two 2 kg balls are attached to the ends of the thin rod, which has a mass of 1 kg and also is 1 m long. The rod can rotate about a horizontal axis.
a) At what speed does teh putty hit the ball on the right end of the thin rod?
b) consider the rod, the balls and the wad as one system, what is the system's initial angular momentum before the hit. L initial? the putty is considered a particle
c)What is the sytem's angular momentum right after the hit, L initial.
d) What is the system's total moment of inertia I final?
e) What is the angular velocity of the rod right after the hit, omega final?
f) What is the kinetic energy of the sytem , KE rod + KE balls + KE putty, right after the hit?
g) IS KE larger or smaller than, or equal to the kinetic energy of the putty wad right before it hits the ball? Prove it.