A bullet of mass m is fired with speed vo toward a steel block ofmass M which is hanging from a massless rod of length D. After avery short impact, the bullet bounces backward with the speed vfwhile the block swings up to a height h. The collision is notelastic. Treat both bullet and block as point particles (pointmasses).
(a) What is the rotational inertia of the block relative to pointP, in terms of M, D, and numerical constants as needed.
(b) What is the angular momentum of the bullet relative to point Pafter the impact, in terms of m, vf , D, and numerical constants asneeded.
(c) What is the angular speed ωf of the block after theimpact, in terms
of vo,vf,D,m,M, and numerical constants as needed.
(d) How high the block swings after the impact, in terms of M, D,ωf , and numerical constants as needed.