Question

The ratio of the masses of two bodies
is 3:2, If their kinetic energy is equal than
ratio of their linean momento is​

Answer 1

Explanation:

Linear Momentum (p)

$= \sqrt{2m \:K.E }$

• m = mass of body
• K.E = Kinetic Energy

Let p1 and p2 be the Momentum of two bodies respectively.

Their masses are m1 : m2 = 3 : 2

Their Kinetic energy is same

$\frac{p1}{p2} = \frac{ \sqrt{2m1 \: K.E 1} }{ \sqrt{2m2 \:K.E 2 } }$

$\frac{p1}{p2} = \frac{ \sqrt{m1} }{ \sqrt{m2} }$

$\frac{p1}{p2} = \frac{ \sqrt{3} }{ \sqrt{2} }$