Solving Three Ball Collision: Elastic Collision with M and m Masses

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Homework Help Overview

The discussion revolves around an elastic collision problem involving a ball of mass M colliding with two stationary balls of mass m. The initial conditions specify that mass M has a velocity v, while the two masses m are at rest. The goal is to determine the velocity of mass M after the collision.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to manipulate equations related to the collision but report difficulties in achieving a solution. There is a focus on the number of unknowns versus equations, with some questioning the clarity of the notation used in the problem statement.

Discussion Status

The discussion is ongoing, with participants providing feedback on the notation and raising concerns about the number of equations available for the unknowns. There is no explicit consensus on the interpretation of the problem, and some participants are suggesting potential adjustments to the equations involved.

Contextual Notes

There are indications of confusion regarding the notation and the exact formulation of the problem, which may affect the participants' ability to proceed effectively. The assumption of elasticity in the collision is also under scrutiny.

momo1111
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Homework Statement


?temp_hash=b5a5acd48f2cef2e42c7ddd45a48430f.jpg

Ball of mass M collide two balls of mass m , elastic collision .
initially, M has velocity v , and two balls are stationary.
after the collision the two masses move ,like in figure , v_a , v_b /
What is the velocity V ,of mass M after the collision ?


Homework Equations

The Attempt at a Solution


1231.png

try to manipulate the equations , with no success.
help
 

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Your notation is a bit confusing, but I think I get it.

Consider that you have four scalar unknowns (vx, vy, v1, and v2) but only three equations.
 
fix notation
upload_2015-7-11_20-27-5.png
 
Dr. Courtney said:
Consider that you have four scalar unknowns (vx, vy, v1, and v2) but only three equations.
The way I read it, vA, vB are given, so it's 3 equations and 2 unknowns. Still not good. Could choose to ignore the elasticity condition.

momo, are you sure you have quoted the question exactly?
I assume your last equation in post #3 should read v'2=v'x2+v'y2.
 

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