what is the average force on the club due to the Golf ball ?
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First let us consider the club and the ball as a system in order to use conservation of momentum
Mass of the club - M = 250g
Mass of the ball - m = 50g
Initial velocity of club = 40m/s
Final velocity of club = v
Initial velocity of ball = 0m/s
Final velocity of ball = 40m/s
Using conservation of momentum for club ball system
Initial momentum of system = final momentum of the system
250*(40) = (250*v) + (50*40)
10000 = 250v + 2000
v = 8000/250 = 32m/s (clubs final velocity)
Average force on ball = (change in balls momentum) /time taken for change
Average force = (50g*40m/s)/(0.5ms) = 4000N
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