Taylor mechanics chap3,problem 4

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The discussion centers on a physics problem involving two men of equal mass, m, running on a stationary railroad flatcar with mass mcar. The objective is to determine the car's speed after the men jump off simultaneously with speed u relative to the car. The user derived the equation (2mu)/(2m+mcar) for the car's speed but found a conflicting solution on an external website. The need for clarity in notation and detailed solution steps was emphasized to facilitate accurate verification of the results.

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Homework Statement


two man,each of equal mass m,are standing at one end of a stationary railroad flatcar with frictionless wheel and mass mcar.Find the car's speed if the two men run to the other end of the car and jump off simultaneously with the same speed u(relative to the car)

Homework Equations

The Attempt at a Solution


let vh be the men's speed relative to the ground at the instant they jump off the car.Thus
u= vh+vcar.Since the momentum of the system is conservative,2mvh=mcarvcar

After solving the equations,i got (2mu)/(2m+mcar) ,but i found a different answer from mine on the website http://chriskranenberg.wix.com/taylor-mechanics-solutions.I want to make sure which one is right[/B]
 
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kylinsky said:

Homework Statement


two man,each of mass [m][/h],are standing at one end of a stationary railroad flatcar with frictionless wheel and mass [m][/fc].Find the car's speed if the two men run to the other end of the car and jump off simultaneously with the same speed u(relative to the car)

Homework Equations

The Attempt at a Solution


i got (2[m][/h]u)/(2[m][/h]+[m][/fc]) ,but i found a different answer from mine on the website http://chriskranenberg.wix.com/taylor-mechanics-solutions.I want to make sure which one is right[/B]
Your notation is strange. What is, for example, [m][/h] meant to convey?

You'll need to show the details of your own solution, how you arrived at your result. Helpers won't just confirm or deny a given solution for you.
 

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