Reduced mass for an infinite mass and a finite mass?

Click For Summary
SUMMARY

The discussion focuses on calculating the maximum compression during a collision between a finite mass steel ball and an infinite mass steel wall. The formula for maximum compression is given by Em=((5/4b)uv^2)^(5/2), where v represents the initial velocity and u is the reduced mass defined as u=m1m2/(m1+m2). In this scenario, substituting an infinite mass for m2 yields a reduced mass of m1, which is confirmed as correct given that m2 is significantly larger than m1.

PREREQUISITES
  • Understanding of collision physics and mechanics
  • Familiarity with the concept of reduced mass in two-body problems
  • Knowledge of mathematical manipulation of equations
  • Basic principles of energy conservation in collisions
NEXT STEPS
  • Study the concept of reduced mass in more complex systems
  • Explore the derivation and applications of the maximum compression formula in elastic and inelastic collisions
  • Investigate the effects of varying the constant b on collision outcomes
  • Learn about energy conservation principles in collisions involving different mass ratios
USEFUL FOR

Physics students, mechanical engineers, and anyone studying collision dynamics and energy transfer in physical systems.

cbjewelz
Messages
3
Reaction score
0

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?
 
Physics news on Phys.org
mathmetically it's: m1.
but physically you are given that m2>>m1.
 

Similar threads

Replies
17
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 10 ·
Replies
10
Views
4K