Question 2. [15 points] Consider a simple pendulum where a wooden block of mass M is suspended from a support by a rigid rod of length l. A bullet of mass m moving horizontally with speed s strikes the block and becomes embedded in it. to determine the speed of the bullet. (a) If the velocity of the block is v0 immediately after impact, show that _mlM m 5 v0. (b) If the maximum angle reached by the rod after the collision is or, use conservation of energy after the impact to show that v3 : 2gl(1cosoc), and hence find the speed of the bullets in terms of g, l, m, M and a. (0) Write the equations of motion in polar coordinates assuming now that, after the collision, the block is subject to a constant friction force F0 always opposite the direction of the velocity, i.e., the force is F : Fov/lvl). Compute the work done by all the existing forces while the block moves from 9 = 0 to 6 = or