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How fast must a 10 kg object be traveling to have the SAME momentum as a 2kg object at 8 m/s?

User Jrnxf
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1 Answer

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Recall that the momentum is given by


p=m\cdot v

Where m is the mass and v is the velocity.


p=2\cdot8=16\;\;(kg\cdot m)/(s)

So, the momentum of the object is 16 kg m/s.

Now, we need to equate this momentum to find the velocity of the other object.


\begin{gathered} p=m\cdot v \\ 16=10\cdot v \\ v=(16)/(10) \\ v=1.6\;(m)/(s) \end{gathered}

Therefore, the object must be traveling at 1.6 m/s to have the same momentum as the other object.

User Vadirn
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