Question

Two balls And B of mass m and 2m are in motion with velocity v and 2v.compare their inertia and momentum

Answer 1

As we all know that inertia always depends on the mass off the body

A=m so the inertia of A is m

B=2m so the inertia of b is 2m.

Ratio=m/2m

=1/2 =1:2

Momentum of A=mv=m×v=mv

Momentum of B=mv=2m×2v=4kgm/s

Answer 2

Given

Mass of ball A = m

Velocity of ball A = v

Mass of ball B = 2m

Velocity of ball B = 2v

To Find

To compare inertia and time

Solution

Inertia for a ball is given by ,

$\huge \sf \bigstar\ \; \pink{I=mr^2}$

So , I ∝ m

Since , mass of body B > mass of body A

So , Inertia of body B will be more

Momentum of the body is given by ,

$\huge \sf \bigstar\ \; \green{P=mv}$

Momentum of Body A :

P = mv

Momentum of Body B :

P' = (2m)(2v)

⇒ P' = 4(mv)

⇒ P' = 4P

So , Momentum of Body B will be greater