Impulse and Momentum (finding net force)

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SUMMARY

The discussion focuses on calculating the impulse of the net force applied to a 0.500-kg ball dropped from a height of 1.20 m, which rebounds to a height of 0.700 m. The impulse can be determined by calculating the change in momentum, which requires finding the ball's velocity just before and after the collision with the floor. The correct impulse value is 4.28 Ns, contrasting with the incorrect value of 3.1305 Ns mentioned by the user. The key to solving this problem lies in applying the principles of conservation of energy and momentum.

PREREQUISITES
  • Understanding of gravitational potential energy (PE) and kinetic energy (KE)
  • Knowledge of momentum and impulse concepts
  • Ability to calculate velocity from height using kinematic equations
  • Familiarity with the conservation of energy principle
NEXT STEPS
  • Calculate the velocity of the ball just before impact using the equation \( v = \sqrt{2gh} \)
  • Determine the velocity of the ball just after the rebound using the same equation for the rebound height
  • Apply the impulse-momentum theorem to find the net impulse during the collision
  • Explore examples of impulse calculations in different collision scenarios
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of impulse and momentum in collision scenarios.

acra
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A 0.500-kg ball is dropped from rest at a point 1.20 m above the floor. The ball reboundes straight upward to a height of 0.700 m. What are the magnitude and direction of the impulse of the net force applied to the ball during the collision with the floor?

I have been trying to solve this various ways, I have tried using PE and KE, but I keep on coming up with 3.1305 instead of the 4.28 which I should be getting.

Any guidance would be greatly appreciated.
 
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acra said:
A 0.500-kg ball is dropped from rest at a point 1.20 m above the floor. The ball reboundes straight upward to a height of 0.700 m. What are the magnitude and direction of the impulse of the net force applied to the ball during the collision with the floor?

I have been trying to solve this various ways, I have tried using PE and KE, but I keep on coming up with 3.1305 instead of the 4.28 which I should be getting.

Any guidance would be greatly appreciated.
You have to determine the ball's change in momentum. To do that you need to know its speed immediately before and immediately after the impact with the floor.

Can you determine these speeds from the two heights given?

AM
 

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