A ball of mass m and initial speed v0 bounces back and forth between a fixed wall
Question:
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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Step by Step Answer:
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
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
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