Momentum of ball bouncing off wall

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Homework Help Overview

The discussion revolves around a racquet ball's momentum change during a perfectly elastic collision with a wall. The problem involves calculating the change in momentum given the ball's mass, initial velocity, and angle of impact.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to determine the change in momentum using initial momentum calculations and questions whether to apply the impulse-momentum theorem or kinematics for acceleration.
  • Some participants suggest considering the conservation of kinetic energy due to the elastic nature of the collision.
  • Others note the importance of recognizing momentum as a vector, highlighting how components of momentum behave differently upon collision.

Discussion Status

Contextual Notes

aszymans
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Homework Statement


A racquet ball with mass m = 0.247 kg is moving toward the wall at v = 12.4 m/s and at an angle of θ = 32° 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 = 0.063 s.


Homework Equations


What is the magnitude of the change in momentum of the racquet ball?


The Attempt at a Solution


I found the initial P already and am not sure if I should use the (delta)P= F(net)* (delta)t and use 1-d kinematics to find acceleration or how exactly to begin.
 
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Since the collision is assumed to be perfectly elastic, try using conservation of KE.
 
Then find the change in momentum.
 
Momentum is a vector quantity. The component of momentum parallel to the way will not change. The component of momentum perpendicular to the way is multiplied by -1.
 

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