A simple way to measure the speed of a bullet is with a ballistic pendulum. As illustrated, this consists of a wooden block of mass M into which the bullet is shot. The block is suspended from cables of length l, and the impact of the bullet causes it to swing through a maximum angle ϕ, as shown. The initial speed of the bullet is v, and its mass is m. (a) How fast is the block moving immediately after the bullet comes to rest? (Assume that this happens quickly.) (b) Show how to find the velocit
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