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An object of small mass has the same linear momentum as an object of large mass.  Which object has the larger speed?

Question

An object of small mass has the same linear momentum as an object of large mass.  Which object has the larger speed?

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Solution

The object with the smaller mass will have a larger speed. This is because linear momentum (p) is the product of mass (m) and velocity (v), as given by the equation p = mv. If two objects have the same momentum, but one has a smaller mass, it must have a larger velocity to compensate.

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