Question

Momentum is the product of mass and velocity. If two bodies having ratio of their masses 1:2 and ratio of their momentum 2:1 , then ratio of their velocities will be​

Answer 1

Answer:

4/1

Explanation:

As,m1/m2=1/2

m2=2(m1) ========>(1)

from the relation,m1v1=m2v2

m1v1/m2v2=2/1 =========>put value of 'm2' we get

m1v1/2(m1)v2=2/1

v1/2(v2)=2/1

v1/v2=4/1 Answer

Answer 2

Answer:

Momentum (p) of a body is measured as the product of mass (m) of the body and it's velocity (v) and has the same direction as that of the velocity.

$\boxed{ \boxed{ \bf{p = mv}}}$

So,

$\begin{gathered}\rm \implies \dfrac{p_1}{p_2} = \dfrac{m_1v_1}{m_2v_2} \\ \\ \rm \implies \dfrac{2}{1} = \dfrac{1 \times v_1}{2 \times v_2} \\ \\ \rm \implies \dfrac{ v_1}{ v_2} = \dfrac{2}{1} \times \dfrac{2}{1} \\ \\ \rm \implies \dfrac{ v_1}{ v_2} = \dfrac{4}{1} \\ \\\rm \implies v_1 : v_2 = 4 : 1\end{gathered}$

$\therefore∴ \boxed{\mathfrak{Ratio \: of \: velocities \: (v_1:v_2) = 4:1}}$

✿NOTE✿

What is momentum??

The linear momentum of a body is defined as product of mass and velocity.

What is Odometer??

Odometer is a device used to measure the distance traveled by vehicle.