Collisions, Impulse, and Reference Frames

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SUMMARY

The discussion centers on the physics of a racquet ball with a mass of 0.245 kg colliding elastically with a frictionless wall at a speed of 15.4 m/s and an angle of 28° to the horizontal. The initial momentum of the ball is calculated to be 3.773 kg·m/s. The change in momentum and the average force exerted by the wall are derived using impulse concepts, specifically F_avg multiplied by the time of contact, which is 0.069 seconds. Participants emphasize the importance of analyzing the momentum components due to the angle of impact.

PREREQUISITES
  • Understanding of momentum and impulse in physics
  • Knowledge of elastic collisions
  • Familiarity with vector components in two-dimensional motion
  • Basic grasp of Newton's laws of motion
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  • Study the principles of elastic collisions in detail
  • Learn how to decompose vectors into horizontal and vertical components
  • Explore the concept of impulse and its relation to force and time
  • Investigate real-world applications of momentum conservation
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Students of physics, educators teaching mechanics, and anyone interested in understanding the dynamics of collisions and impulse in two-dimensional motion.

sam_amy
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A racquet ball with mass m = 0.245 kg is moving toward the wall at v = 15.4 m/s and at an angle of θ = 28° with respect to the horizontal. The ball makes a perfectly elastic collision with the solid, frictionless wall and rebounds at the same angle with respect to the horizontal. The ball is in contact with the wall for t = 0.069 s.


What is the magnitude of the initial momentum of the racquet ball?
What is the magnitude of the change in momentum of the racquet ball?
What is the magnitude of the average force the wall exerts on the racquet ball?

I've already computed the initial momentum =3.773kgm/s but I honestly can't figure out the second question...
I'm using Favg*delta(t) equals impulse but I can't figure it out
Please help me!
 
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Since, it's hitting the wall at an angle, you'll have to think of it in terms of components. If the wall is vertical, then the object is either moving up or down with some horizontal velocity when it hits it. Think about how the horizontal and vertical components of velocity will change, and thus how the components of momentum will change.
 
Ahhhh! Got it! Thank you so much!
 

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