Friday, July 4, 2014

Two cars are traveling on a highway the first car has twice the mass of the second car the second car has twice the velocity of the first car the momentum of the first car will be?

Two cars are traveling on a highway the first car has twice the mass of the second car the second car has twice the velocity of the first car the momentum of the first car will be?
First, know that p = mv, where p = momentum, m = mass, and v = velocity.
Let Car A be the car with twice the mass, and Car B be the car with twice the velocity.
The momentum of Car A has to be in relation to the momentum of Car B, so:
Car A:
p = mv write the equation
p = 2mv write the equation in relation to Car A
p = 2(mv) realize that the new equation is twice the old
2p
Car B:
p = mv
p = m2v
p = 2(mv)
2p
So the cars have the same momentum!

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