Question

if the kinetic energy of a body is made 9 times the initial value ,how does momentum changes​

Answer 1

$we \: know \: that \\ p = \sqrt{2mk.e.} \\ if \: k \: = 9k.e \: then \\ p2 = \sqrt{18mk.e.} \\ p2 = 3 \sqrt{2} . \sqrt{mk.e.} \\ thus \\ \frac{p}{p2} = \frac{ \sqrt{2mke} }{3 \sqrt{2} \sqrt{mke} } \\ = \frac{1}{3}$

thus p2= 3p
where p= initial momentum

Answer 2

$momentum \: = \sqrt{2mk.e \: } \: so \: if \: \\ kinetic \: \:energy \: is \: 9 \: times \: then\\ \: momentum \: is \: 3\\ times$

HEY MATE HERE IS YOUR ANSWER