Physics Major Help: Calculating Coasting Speed of Coupled Railroad and Flatcar

AI Thread Summary
In the discussion, participants focus on calculating the coasting speed of a coupled railroad engine and flatcar using the principle of momentum conservation. The diesel engine, weighing four times as much as the flatcar, collides with it while initially moving at 5 km/h. After coupling, both the engine and flatcar will move together at the same final speed, which can be determined through momentum equations. The specific masses are not needed, as their ratio is sufficient for the calculations. The key takeaway is that the mass variable will cancel out, simplifying the problem.
almost__overnow
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A railroad diesel engine weights 4 times as much as a flatear. If a diesel coasts a 5km/h into a flatear that is initally at rest. How fast do the two coast after they couple together?
 
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Hint: What's conserved in any collision?
 
Momentum is conserved in any collison.
 
Right! That's all you need to solve this one.
 
But don't I have to do some kind of math since it says how fast do the two coast after they couple together? =\
 
The fact that they couple together tells you that they have the same final speed. Now express the conservation of momentum mathematically and solve for that speed.
 
okay wait one more question how do you find the kg since i already have the speed? thanks
 
almost__overnow said:
okay wait one more question how do you find the kg since i already have the speed? thanks
The actual masses do not matter. All that matters is that the masses have a known ratio. If you do the problem using m for the mass of the flatear and 4m for the engine the m will divide out of the problem. There is no way for you to determine the value of m.
 
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