A rubber ball (mass 0.27 kg)is dropped from a height of 1.4 m onto the floor. Ju

Question

A rubber ball (mass 0.27 kg)is dropped from a height of 1.4 m onto the floor. Just after bouncingfrom the floor, the ball has a speed of3.6 m/s. (a) What is the magnitude and direction of the impulse imparted bythe floor to the ball? Magnitude kg · m/s Direction ---Select---downwardradially outwardradially inwardupwardclockwise
(b) If the average force of the floor on the ballis 19 N, how long is theball in contact with the floor?
s (a) What is the magnitude and direction of the impulse imparted bythe floor to the ball? Magnitude kg · m/s Direction ---Select---downwardradially outwardradially inwardupwardclockwise
(b) If the average force of the floor on the ballis 19 N, how long is theball in contact with the floor?
s Magnitude kg · m/s Direction ---Select---downwardradially outwardradially inwardupwardclockwise

Explanation / Answer

mass m = 0.27 kg height h = 1.4 m So, speed of the ball just befroe touch the ground v =[ 2 gh ]                                                                               = 5.238 m / s speed of the ball just after touch the ground v ' = -3.6 m / s So, magnitude of the impulse J = m ( v ' - v )                                                =- 2.386 kg m / s That J is along upward direction . (b),.time of contact t = J / F                                 = 2.386 / 19                                 = 0.125 s

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