Question

Relation between mass of the body and its weight,
A) $w = mg$
B) $w = \dfrac{m}{g}$
C) $g = m - w$
D) $w = m + g$

Answer 1

Hint: We feel weightless in space even though we have mass(which is a basic quantity in physics related to matter) but we feel weight on earth, hence this gives us a hint that the weight of a body is related to gravity.

Complete step by step answer:
Mass is an integral quantity and the most common feature of matter in physics. Mass may be defined as the quantity of matter inside a body.
Weight is the measure of the force of gravity acting on a body.
$w = mg$
Where, $w$ is weight, $m$ is mass and $g$ is acceleration due to gravity.
Since its SI unit is the same as its strength weight, Newton is the SI unit of weight. Looking at weight expression, the mass cannot change but acceleration due to gravity will change from position to place based on weight and gravity acceleration.
The shape of the planet is not fully spherical but an Oblate spheroid, and therefore a person who is on the equator is far from the middle of the earth, as a person at the northern pin is equal to the inverse of the square of the distance between two objects, since acceleration is proportional to gravity.
Therefore the correct option is A

Note: Mass is constant no matter where you are because it is the amount of matter in an object and weight changes because it's the pull of gravity on an object. Mass is a measure of how much matter an object contains, while weight is a measure of the force of gravity on the object.