Calculating Combined Mass Motion of Two Cars

AI Thread Summary
The discussion revolves around calculating the center of mass velocity of two cars, Car A and Car B, with masses of 2400 kg and 1100 kg, moving at speeds of 45 mph and 65 mph, respectively. The formula used for the calculation is Xcm = (M1X1 + M2X2) / (M1 + M2). The calculated center of mass speed is 51.3 mph, which raises doubts about the simplicity of the solution. However, it is emphasized that straightforward problems are common in homework, and understanding the material can lead to seemingly easy answers. Confidence in the method used is encouraged, as it aligns with the principles of physics.
linnus
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Homework Statement


Car A with mass 2400 kg is moving along a straight stretch of road at 45 miles per hour. Car B with mass 1100kg follows with speed 65 miles per hour. How fast is the center of mass of the 2 cars moving?

Homework Equations


Xcm=(M1X1+...+MnXn)/ (M1+...+Mn)


The Attempt at a Solution


hmm i did

(2400kg x 45mph +1100kg x 65 mph)/ (1100kg+2400kg)= 51.3 mph
But that seems a bit too easy..
 
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May seem too easy, but that's no reason to mistrust it.
 
hmm so was my method right?
 
linnus said:
But that seems a bit too easy..
Homework questions aren't meant to be a trick! If you've studied, and understand the material, then often you will find the problems quite straightforward.
 
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