A 0.270 kg rubber ball strikes a smooth floor moving at 8.70 m/s, 36.87 ∘ below the horizontal and rebounds at an angle of 22.62 ∘ above the horizontal. If the ball was in contact with the ground for 0.0400 s, then
a) ..what was the rebound speed of the ball?
b) ...what was the average normal force (magnitude) the floor exerts upwards on the ball, if we neglect gravity during the collision?
c) ...what was the average normal force (magnitude) the floor exerts upwards on the ball, if we include gravity during the collision? (Take g = 9.80 m/s2.)
d) what was the coefficient of restitution for this collision? Note: the floor can be taken as infiinitely massive, and so undergoes no recoil.
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