A ball of mass m and initial speed v0 bounces back and forth between a fixed wall
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A ball of mass m and initial speed v0 bounces back and forth between a fixed wall and a block of mass M (with M >> m). See Fig. M is initially at rest. Assume that the ball bounces elastically and instantaneously. The coefficient of kinetic friction between the block and the ground is ?. There is no friction between the ball and the ground. What is the speed of the ball after the nth bounce off the block? How far does the block eventually move? How much total time does the block actually spend in motion? Work in the approximation where M >> m, and assume that ? is large enough so that the block comes to rest by the time the next bounce occurs.
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Let v i be the speed of the ball after the i th bounce and let V i be the spe...View the full answer
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