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There are different types of momenta. What you are referring to is LINEAR momentum. Linear momentum is the product of an object's mass and linear (along a straight line: translational motion) velocity and is usually represented by 'p' : p = mv. Keep in mind that it is a vector quantity (has a magnitude and direction). Momentum represents the "amount of motion" of an object.

Say you have two masses, m1 = m and m2 = 2m, so that m2 is twice as massive as m1. m1 is moving to the right at a linear velocity v1 = 2v and m2 is moving to the right at a linear velocity v2 =v. What are their linear momenta?

Well, p1 = m1 v1 = 2mv and p2 = m2 v2 = 2mv, so that p1 = p2. So, although both objects have DIFFERENT linear velocities and DIFFERENT masses, their linear momenta ("amount of motion") for this case are the same.

Now, if instead m1 is moving to the right at v1 = 3v and m2 is moving to the right at v2 = v, then:

p1 = m1 v1 = 3mv

p2 = m2 v2 = 2mv

Although m1 is the smaller mass, it has a larger "amount of motion" compared to m2 for this case, because it's linear velocity is larger than the former case.

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12y ago

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