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

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SUMMARY

The discussion focuses on calculating the average force exerted on a 0.422 kg ball that falls from a height of 29.8 m and rebounds to a height of 21.7 m, with a contact time of 1.83 ms. Key equations include the change in momentum (p) = F_net * change in time and gravitational force (F_grav = m * g). The participant is guided to determine the ball's velocity at impact and just after rebound using kinematic equations, which are essential for applying the net force equation during the contact period.

PREREQUISITES
  • Understanding of kinematic equations for projectile motion
  • Knowledge of momentum and impulse concepts
  • Familiarity with gravitational force calculations (F_grav = m * g)
  • Basic proficiency in unit conversions (e.g., milliseconds to seconds)
NEXT STEPS
  • Calculate the velocity of the ball at impact using kinematic equations
  • Determine the velocity of the ball just after the rebound
  • Apply the impulse-momentum theorem to find the average force
  • Explore the effects of varying heights on impact forces in free fall scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for practical examples of momentum and force calculations in free fall contexts.

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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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