Relativistic momentum football problem

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Homework Help Overview

The problem involves a collision between two football players, where relativistic momentum is considered. The original poster presents a scenario with specific masses and speeds, aiming to find the speed of the second player after a head-on collision, assuming they come to rest together.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the relativistic momentum equation to both players and equate their momenta, questioning the correctness of their calculated result for the second player's speed.

Discussion Status

Some participants suggest that the original poster should provide more detailed work to identify potential errors. There is an ongoing exploration of the calculations, with one participant checking the results by substituting values back into the equations.

Contextual Notes

The problem assumes the speed of light is 3.00 m/s, which is notably lower than the actual speed of light, potentially affecting the calculations and assumptions made regarding relativistic effects.

Cheezay
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Homework Statement



A football player with a mass of 82.1 kg and a speed of 2.00 m/s collides head-on with a player from the opposing team whose mass is 126 kg. The players stick together and are at rest after the collision. Calculate the speed of the second player, assuming the speed of light is 3.00 m/s

Homework Equations


p= mv/[sqrt(1-v^2/c^2)]


The Attempt at a Solution


Basically how i attempted to solve this is used the above equation for each player, and set them equal to each other using 3.00m/s as the speed of light, because if they are at rest after the collision then their momentum must be equal. Because i have knowns for 1 player, and the mass of the other player, I should be able to solve for v, the other players speed, but the answer i calculate isn't right... any suggestions?
 
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First suggestion: show your work in more detail... I don't notice any obvious issues but maybe if you actually specify what you did something will become clear.
 
p= 82.1*2/[sqrt(1-2^2/3^2)]
p= 220.297

220.297=126*v/[sqrt(1-(v^2/3^2)]
v= 1.94m/s which is not correct
 
Cheezay said:
p= 82.1*2/[sqrt(1-2^2/3^2)]
p= 220.297

220.297=126*v/[sqrt(1-(v^2/3^2)]
v= 1.94m/s which is not correct

Check your answer by putting v=1.94 in the right hand side
(I get 320).
 

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