Question

If kinetic energy of a body is in-
creased by 300%, the momentum
increases by:
(A), 300%
(B) 100%
(C) 400%
(D) 600%​

Answer 1

$k = \frac{ {p}^{2} }{2m }$

now if KE is increases by 300 precent

KE1=KE+300KE/100=400KE/100=4 KE

$\sqrt{ \frac{k}{4k} } = \frac{p}{p1} \\ p1 = 2p$

$\%increase \: in \: p = \frac{2p - p}{p} \times 100 = 100\%$

I hope this helps ( ╹▽╹ )