Question

Two bodies A and B of same masses are moving with velocities v and 2v respectively. Compare their inertia and momentum

Answer 1

As inertia depends on mass therefore both the bodies will have same inertia due to their same mass.

Momentum is product of mass and velocity therefore in this case body with 2v velocity will have greater Momentum.


Hope you get your answer.

Answer 2

Inertia ratio is 1 : 1 & Momentum ratio is 1 : 2.

Given:

• A and B have same mass
• Velocity of A is v
• Velocity of B is 2v

To find:

• Comparison of inertia & Momentum

Calculation:

The inertia of any object is directly proportional to its mass.

• It is the ability of the body to stay in motion or rest until and unless and external force acts on it.

$I \propto \: m$

Since both the objects have same mass, they will have same inertia.

So, ratio of inertia will be 1 : 1.

Now, momentum is product of mass and velocity.

• Momentum of A = m × v
• Momentum of B = m × 2v

So, the ratio will be 1 : 2.