What happens to the momentum of the body when velocity is doubled and mass is halved?

Given: velocity is doubled and mass is halved

To find: What happens to momentum?

Solution:

Mathematically, momentum = Mass $ \times $ Velocity

Let the initial momentum be 'mv'.

But given that, velocity is doubled and mass is halved.

Therefore, new momentum = $\frac{mass }{ 2} \times (2\times velocity)$

= mv

Hence the momentum of the body would remains the same.

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Updated on: 10-Oct-2022

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