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Differentiate between inertial mass and gravitational mass.

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  • Inertial mass

Also known as the mass of material of body which measures its inertia.

From  Newton’s second law of motion

F=m_{i}a

So m_{i}=\frac{F}{a}

Where 

m_{i}\rightarrow inertial mass

F\rightarrow external force

a\rightarrow\: acc^{n}

  1.   Gravity has no effect on inertial mass.

  2.   Inertial mass is independent of the size, shape, and state of the body.

  • Gravitational Mass-

It is mass which determines the gravitational pull acting upon it.

Let F= gravitational pull on a body of mass 

applying Newton’s law of gravitation

We have F=\frac{GMm_g}{R^2}

So we get m_g=\frac{F}{GM/R^{2}}=\frac{F}{I}

Where m_g= Gravitational mass

I\rightarrow Gravitational field intensity

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avinash.dongre

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