Mastering Physics: Ball hits wall Elastically

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SUMMARY

The discussion focuses on solving a physics problem involving an elastic collision between a ball and a vertical wall. The key parameters include the ball's mass (m), initial velocity (v_i), angle of incidence (theta_i), and the duration of the collision (Deltat). Participants emphasize the importance of analyzing momentum conservation in both the x and y directions, while also applying trigonometric functions to resolve velocity components. The final angle of the ball's velocity vector with respect to the negative y-axis is determined through these calculations.

PREREQUISITES
  • Understanding of elastic collisions in physics
  • Knowledge of momentum conservation principles
  • Familiarity with vector components in two dimensions
  • Basic trigonometry for resolving angles and components
NEXT STEPS
  • Study the principles of elastic collisions in detail
  • Learn how to apply conservation of momentum in two dimensions
  • Practice resolving vectors into components using trigonometric functions
  • Explore examples of collisions and their outcomes in physics simulations
USEFUL FOR

Students struggling with physics concepts, particularly those focusing on mechanics and collisions, as well as educators seeking to clarify elastic collision principles.

RhysticGenesis
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First off let me say I am completely stumped. I don't remember teacher teaching this, and its definitely not in book(I went through it 3 or 4 times) and its not even the same book mastering physics uses...

The Question is :
What is the final angle that the ball's velocity vector makes with the negative y axis?

The Given are:
A ball of mass m moving with velocity v_i strikes a vertical wall. The angle between the ball's initial velocity vector and the wall is theta_i. The duration of the collision between the ball and the wall is Deltat, and this collision is completely elastic. Friction is negligible, so the ball does not start spinning. In this idealized collision, the force exerted on the ball by the wall is parallel to the x axis.

an image cna be found here: http://session.masteringphysics.com/problemAsset/1010992/25/MLM_e2.jpg

I have no clue on how to solve this... all I do know however is that physics is not my subject heh. Can anyone help lead me in right direction? (keep in mind I am seriously not good in physics [Math yes] physics no so try and keep it dumb if you can? I want to know how to get the answer..well I have to know actually

Edit: Ok I know this much I have to find the Y component and X component and stick them together thing is... how? I was thiking it has to be sin(Theta_i) to get the piece that is rquired for the distance the ball is from the wall?
 
Last edited:
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RhysticGenesis said:
The duration of the collision between the ball and the wall is Deltat, and this collision is completely elastic. Friction is negligible, so the ball does not start spinning. In this idealized collision, the force exerted on the ball by the wall is parallel to the x axis.
Since the collision is elastic, you know energy is conserved. Hint: Is momentum conserved? (Remember that momentum is a vector; consider x and y components separately.)
 
The momentum would be conserved wouldn't it? Well not completely though? Wouldnt a lot be lost because of the wall? I don't understand where you are pointing me with this? I know I have to treat x and y comp separately but I don't truly know what the heck an x and y component is in this prob maybe that's where my problem lies?
 
I'll rephrase my question: Is momentum conserved in the x-direction? ... the y-direction? (Why?)

Also: What's the final speed?

Now write an equation for conservation of momentum. (Use a little trig to find the x and y components of the velocity.)
 
As Doc Al pointed out, momentum is a VECTOR. Initially, the momentum vector is pointed TOWARD the wall (because the ball is moving toward the wall). Is it pointed that way after the ball bounces? But it is true that energy is conserved.
 
Don't forget to deal with gravity. It is an elastic collision, but the magnitude of the velocity before and after the collision is not the same (deal with the x and y components separately).
 

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