A bullet is fired horizontally into a block connected to a spring (see below). The bullet is embedded into the block. (a) Find an expression for the amplitude of the resulting simple harmonic motion in terms of the variables given. (b) If the block then moves 7 cm before coming to rest, find (i) the bullet’s initial speed and (ii) the block’s speed when the block has moved 3 cm. Use: k = 200 N/m, M = 2 kg, and m = 200g.