Question

Two balls A and B of mass 'm' and '5m' are in motion with velocities '5v' and 'v' respectively. Compare their inertia

Answer 1

Given:

Two balls A and B of mass 'm' and '5m' are in motion with velocities '5v' and 'v' respectively.

To find:

Comparison of inertia of the objects.

Calculation:

Inertia is the tendency open object to stay in motion or to stay at rest until and unless an external force acts on it.

Inertia is directly proportional to the mass of an object:

$\boxed{\bf{I \propto Mass}}$

Let Inertia be denoted as I;

$\therefore \: \rm{ \dfrac{I_{A}}{I_{B}} = \dfrac{m_{A}}{m_{B}} }$

$= > \: \rm{ \dfrac{I_{A}}{I_{B}} = \dfrac{m}{5m} }$

$= > \: \rm{ \dfrac{I_{A}}{I_{B}} = \dfrac{1}{5} }$

$= > \: \rm{ I_{A} : I_{B} = 1 : 5}$

So, final answer is:

$\boxed{\: \bf{ I_{A} : I_{B} = 1 : 5}}$