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Two balls $A$ and $B$ of masses $m$ and $3 m$ are in motion with velocities $3 v$ and $v$ respectively. Their inertia are in the ratio.

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1 : 3

3 : 1

1 : 1

1 : 9

answer is A.

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Detailed Solution

Two balls

A

and

B

of masses

m

and

3 m

are in motion with velocities

3 v

and

v

respectively. The inertia are in the ratio is

1 : 3 .

Given that
Mass of ball

A = m

Mass of ball

B = 3 m

Velocity of ball

A = 3 v

velocity of ball

B = v

Inertia is directly proportional to the mass of the object that is

inertia \propto mass

{\frac{I_{1}}{I}}_{2} = \frac{m_{1}}{m_{2}}

Hence, the ratio will be

{\frac{I_{1}}{I}}_{2} = \frac{1}{3}

The ratio of inertia will be

1 : 3 .

Inertia is a property due to which it resists any changes in its state.

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