Reduced mass for an infinite mass and a finite mass?

AI Thread Summary
In the discussion about calculating the maximum compression during a collision between a finite mass steel ball and an infinite mass steel wall, the key focus is on determining the appropriate reduced mass. The formula for maximum compression involves the reduced mass, which is calculated as u = m1m2/(m1+m2). When considering an infinite mass for m2, the reduced mass simplifies to m1, leading to confusion about its physical interpretation. Participants discuss whether using a reduced mass of 1 is mathematically correct, given that m2 is significantly larger than m1. The conversation emphasizes the need to reconcile mathematical results with physical realities in collision scenarios.
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Homework Statement


We have a collision between a finite mass steel ball and an infinite mass steel wall and must find the maximum compression if we are given the mass of the ball, the initial speed and the constant b (See eq. below).


Homework Equations


We know that the maximum compression for two spheres colliding is given by
Em=((5/4b)uv^2)^5/2 where v is the initial velocity upon collision and u is the reduced mass u=m1m2/(m1+m2). b is a constant.


The Attempt at a Solution


Now my only question is what to use as the reduced mass. Mathematically by putting in infinity as m2 we get a reduced mass of 1. Is this correct?
 
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mathmetically it's: m1.
but physically you are given that m2>>m1.
 
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