Question

The mass of a body is measured of its:
$A.$ Momentum
$B.$ Force
$C.$ Inertia
$D.$ None of those

Answer 1

Hint: Here we will proceed by demonstrating the mass of a body and from that we can find out the term in which mass of a body is expressed.

Complete Step-by-Step solution:
As we know, Mass of a body Is usually measured in grams (g) and kilograms (kg). Mass measures the quantity of a matter regardless of both its location in the universe and the gravitational force applied to it. For example your mass on the earth and the moon are identical.
A body remains at rest or in motion in a straight line with uniform speed unless it is acted upon by an external force. Thus all objects resist the change in their state of rest or uniform motion. Hence mass is a measure of inertia of the body. As inertia means a property of matter by which it continues in its existing state of rest or uniform motion in a straight line, unless that state is changed by an external force.
Mass is therefore, a measure of inertia.
Inertia is the resistance of any physical object to any change in its state of motion. It is the parameter used to describe the motion of the object and how it is affected by the applied force. And the mass(m) is the measure of it. The S.I unit of moment of inertia is $kg{m^2}$ .
Moment of inertia is usually specified with respect to a chosen axis of rotation. It mainly depends on the distribution of mass around the axis of rotation.
Hence mass is a measure of inertia of the body.
For example- When playing football, a player is tackled, and his head hits the ground.
The formula for moment of inertia – “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of inertia is = $\sum {{m_i}} {r_i}^2$
Therefore, C is the correct option.

Note: Whenever we come up with this type of problem where we are asked to find in which terms a unit is expressed. Then we first write the formula to calculate the unit of the quantity. By demonstrating the quantity we will get the term in which the unit is expressed. (here mass of a body is measured in inertia).