Consider a simple pendulum where a wooden block of mass M is suspended from asupport by a rigid rod of length 1. A bullet of mass m moving horizontally with speed sstrikes the block and becomes embedded in it. to determine the speed of the bullet.(a) If the velocity of the block is vo immediately after impact, show thatm+Mm-VO-(b) If the maximum angle reached by the rod after the collision is a, use conservation ofenergy after the impact to show thatv=2gl (1-cosa),and hence find the speed of the bullet s in terms of g, 1, m, M and a.(c) Write the equations of motion in polar coordinates assuming now that, after thecollision, the block is subject to a constant friction force Fo always opposite the directionof the velocity, i.e., the force is F = Fov/v). Compute the work done by all the existingforces while the block moves from 0 = 0 to 0 = a.

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