Ball in Free Fall, Average Force Created on Impact (Bounce Up)

AI Thread Summary
A 0.422 kg ball falls from a height of 29.8 m and rebounds to 21.7 m, with contact time on the ground lasting 1.83 ms. To find the average force exerted on the ball, the change in momentum during the impact must be calculated using the velocities at impact and rebound. The average velocity during the fall can be determined using kinematic equations, considering the initial velocity is zero. The net force can then be calculated by applying the formula F_net = change in momentum/change in time. Understanding the role of the 1.83 ms contact time is crucial for solving the problem accurately.
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Homework Statement


After falling from rest at a height of 29.8 m, a 0.422 kg ball rebounds upward, reaching a height of 21.7 m. If the contact between ball and ground lasted 1.83 ms, what average force was exerted on the ball?


Homework Equations


Change in momentum (p) = Fnet* Change in Time
FGrav=m*g
Delta y = Vavg,y*Change in Time


The Attempt at a Solution


I understand all of these formulas, but I am not quite sure where the 1.83 ms goes as far as which time it is actually describing in a specific formula. I know that the average velocity on the way down is actually just the final velocity divided by 2, since the initial velocity is 0... I feel like I'm on the brink of solving this but I'm not quite sure where to go next..

Thanks!
 
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What is the velocity of the ball at impact, as it hits the ground? What is its velocity just as it leaves the ground on the rebound? You can use the kinematic equations applied to the ball in flight to get these values. Once you have found them, you can use your F_net=change in momnentum/change in time applied during the period of contact.
 
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