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Consider a ball moving with a velocity of 10m/s and strikes a rough wall with the velocity with which it is moving at an angle of 37 degrees with the vertical and rebounds with same angle with 5m/s. Find the coefficient of friction of the wall.
the initial y-component of the ball = 8
initial x-component of the ball = 6
final y-component = 4
final x-component = 3
consider mass of ball as m
now the momentum in x is changed by impulse of normal ( ∫Ndt ) (don''t be scared by the integration symbol , it''s just the denotion for impulse )
& the momentum in y by impulse of friction ( μ∫Ndt ) (since friction is kinetic )
now , ∫Ndt = 4m-8m = -4m
μ∫Ndt = μ (-4m)= 3m-6m =-3m
therefore μ = 0.75
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