Initial velocity (and momentum)

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In a collision between a 2020kg car moving at 20.0m/s and a 1400kg car at rest, the discussion focuses on demonstrating momentum conservation in a reference frame moving at 10.0m/s in the direction of the moving car. The initial momentum in this frame is calculated as 6200kg*m/s after accounting for the velocities of both cars. The initial velocity of the 1400kg car in the new frame is 10.0m/s in the opposite direction, leading to its momentum being -14000kg*m/s. The final momentum remains at 6200kg*m/s, confirming that momentum is conserved. The conversation emphasizes the importance of adjusting for reference frames in momentum calculations.
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A 2020kg car moving at 20.0m/s collides and locks together with a 1400kg car at rest at a stop sign. Show that momentum is conserved in a reference frame moving at 10.0m/s in the direction of the moving car.

initial momentum

final momentum


I don't understand why that the answer for initial momentum is not 20200 kg*m/s due to a reference frame moving at 10.0m/s in the direction of the moving car. Can anyone help me out here, that will be awesome
 
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In that new reference frame, what's the initial velocity (and momentum) of the 1400 kg car?
 
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Doc Al said:
In that new reference frame, what's the initial velocity (and momentum) of the 1400 kg car?

was it 10.0m/s and 14000kg*m/s in the opposite direction?
 
Exactly.
 
then do I have to sum it together (20200+ (-14000))kg*m/s? and the answer should be 6200kg*m/s for the initial momentum?
 
That's correct.
 
is that mean the final momentum is also 6200kg*m/s?
 
shiri said:
is that mean the final momentum is also 6200kg*m/s?
Sure. Momentum is conserved.
 
thanks Doc Al
 

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