question_answer

Two bodies of masses \[{{m}_{1}}\] and  \[{{m}_{2}}\] are moving with equal kinetic energies. What is the ratio of their momentum?

Answer:

\[KE=\frac{{{P}^{2}}}{2m}\] \[\Rightarrow {{P}^{2}}\propto m\]                         (\[\because KE=\] Constant) \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{\sqrt{{{m}_{1}}}}{\sqrt{{{m}_{2}}}}\]