Question

the mass of two bodies are in a ratio 5:6 and velocities are in the ratio 1:2. What is their linear momentum?

Answer 1

answer is in attachment

plz check it

answer is right

Answer 2

Given that  ,

" The mass of two bodies are in a ratio 5:6 and velocities are in the

ratio 1:2 "

$\implies \bf \dfrac{m_1}{m_2}=\dfrac{5}{6}...(1)\;\;\;\&\\\\\;\;\;\implies \bf \dfrac{v_1}{v_2}=\dfrac{1}{2}...(2)$

Linear momentum is the product of mass and velocity

$\underbrace{ \bf Linear Momentum,P=mv}$

Here ,We need to find the ratio of their linear momenta .

$\implies \bf \dfrac{P_1}{P_2}\\\\\implies \bf \dfrac{m_1.v_1}{m_2.v_2}\\\\\implies \bf \dfrac{m_1}{m_2}*\dfrac{v_1}{v_2}\\\\\implies \bf \dfrac{5}{6}*\dfrac{1}{2}\;[\;From\;(1)\ \;\& \;(2)\;]\\\\\implies \bf \dfrac{5}{12}$

So , the ratio of their Linear Momenta is 5:12