a bowling machine is throwing tennis balls of mass m and velocity u each towards a wall . the balls hits the wall at 90 degree and rebounds with same velocity. the machine throws n balls per second. the force on the wall is
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n balls per second are thrown on the wall at right angles to it.
mass = m
initial velocity = - u before hitting the wall, towards the wall
final velocity = u after hitting the wall and rebounding, away from the wall
Change of momentum of the ball during collision = m u - (-m u) = 2 m u
As n balls are hitting the wall in 1 sec, the total change of momentum of all the balls together in one second = 2 n m u
Force = change of momentum per second.
Force exerted by the wall on all the balls = 2 n m u
Hence the force experienced by the wall = 2 n m u, as action and reaction forces are equal and opposite in direction.
mass = m
initial velocity = - u before hitting the wall, towards the wall
final velocity = u after hitting the wall and rebounding, away from the wall
Change of momentum of the ball during collision = m u - (-m u) = 2 m u
As n balls are hitting the wall in 1 sec, the total change of momentum of all the balls together in one second = 2 n m u
Force = change of momentum per second.
Force exerted by the wall on all the balls = 2 n m u
Hence the force experienced by the wall = 2 n m u, as action and reaction forces are equal and opposite in direction.
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