Question

what will be the increase in momentum of a body when both is mass and velocity are doubled

Answer 1

Hey There,


Here, we will only use the simple mathematical definition of momentum:

$p=mv$


That is, Momentum is the product of mass and velocity. 


Now, initial momentum is:

$p = mv$


Now, both mass and velocity are doubled. Let the new momentum be $p'$

$p' = (2m) \times (2v) \\ \\ \\ \implies p' = 4mv \\ \\ \\ \implies \boxed{p' = 4p}$


Thus, Momentum is increased by 4 times.


Hope it helps
Purva
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