Colision with a wall/platform and coefficient of restitution

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Homework Help Overview

The discussion revolves around a physics problem involving a ball colliding with a wall and then with a soft platform, focusing on the coefficient of restitution and initial velocity. The scenario includes specific distances and velocities related to the ball's trajectory and rebounds.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss calculating the coefficient of restitution by comparing rebound speeds after collisions with different surfaces. Questions arise regarding the validity of the data and the method of calculation, particularly whether dividing the rebound speeds is appropriate.

Discussion Status

Some participants express uncertainty about the data provided and its implications for the problem. There is an acknowledgment of the need to demonstrate understanding of the method for determining the coefficient of restitution, even if the values seem inconsistent. Guidance is offered regarding the calculation of rebound speeds.

Contextual Notes

Participants note potential issues with the data, such as the unexpected behavior of the ball when rebounding from the soft platform compared to the wall. There is also mention of the absence of drag and specific gravitational acceleration values.

kohlerb
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1. A ball is launched against a solid wall with straight trajectory and a velocity of Vo. It hits the wall on a 3ft height and it falls on the ground at a 2ft distance (by the left of the wall). Then, an elastic platform is positioned on the exact height of the collision of the ball, and it is throwed once again, with the same velocity. But now, it falls on the ground at a distance of 0,83ft.
a) Coefficient of restitution = ?
b) Vo = ?

g = 32,17; No drag;
My attempt was to calculate the velocity right after the wall colision, and right after the platform colision, using kinematics equations for velocity (free fall and horizontal movement), and then divided both to find the coefficient, but that doesn't sound right to me. And I have no idea on how to calculate the Vo.
 
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Hi kohlerb. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

With the elastic platform, the ball rebounds far less distance? That doesn't sound right. (Maybe the data has been accidently swapped around?)

If this were an exam question, you should still "go through the motions" for solving it, even though the data values won't give a logical answer. At least demonstrate that you know the correct method for determining coefficient of restitution.

What would the rebound speeds be, for each throw?
 
Last edited by a moderator:
NascentOxygen said:
Hi kohlerb. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

With the elastic platform, the ball rebounds far less distance? That doesn't sound right. (Maybe the data has been accidently swapped around?)

If this were an exam question, you should still "go through the motions" for solving it, even though the data values won't give a logical answer. At least demonstrate that you know the correct method for determining coefficient of restitution.

What would the rebound speeds be, for each throw?

I'm sorry, I wrote the question poorly, the platform is a "soft" platform, it really makes the ball rebounds less. But I still don't know if the way I calculated the coefficient is the correct way. Can I divide the two rebound speeds to find it?

Rebound speeds:

Without the platform: 4,65ft/s
With the platform: 1,93ft/s
 
Last edited by a moderator:
With one of the rebound speeds being that of an elastic collision, you should be able to divide them. As you have not shown how you calculated them, I can't say whether your working looks right or not.
 

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