Question
We know that the earth attracts every object with a certain force and this force depends on the mass $(m)$ of the object and the acceleration due to the gravity $(g)$. The weight of an object is the force with which it is attracted towards the earth. Mathematically $W = m\ x\ g$
Where, $W$= weight of object
$m$= mass of object
$g$= acceleration due to the gravitational force
As the weight of an object is the force with which it is attracted towards the earth, the SI unit of weight is the same as that of force, that is, Newton $(N)$. The weight is a force acting vertically downwards; it has both magnitude and direction. We have learnt that the value of g is constant at a given place. Therefore at a given place, the weight of an object is directly proportional to the mass, say $m$, of the object, that is, $W$ αm. It is due to this reason that at a given place, we can use the weight of an object as a measure of its mass. Answer the following questions.
(i) Unit of acceleration due to the gravity (g) is
$(a)$ m/s
$(b)$ $m/s^2$
$(c)$ Newton$(N)$
$(d)$ None of these
(ii) Direction of weight of any object is
$(a)$ Always towards centre of earth
$(b)$ Always away from centre of earth
$(c)$ Weight don’t have direction
$(d)$ None of these
(iii) Which of the following has same unit
$(a)$ Mass and weight
$(b)$ Weight and force
$(c)$ Velocity and acceleration
$(d)$ None of these
(iv) Whether weight is scalar quantity or vector quantity? Justify your answer.
(v) Differentiate between mass and weight.
Where, $W$= weight of object
$m$= mass of object
$g$= acceleration due to the gravitational force
As the weight of an object is the force with which it is attracted towards the earth, the SI unit of weight is the same as that of force, that is, Newton $(N)$. The weight is a force acting vertically downwards; it has both magnitude and direction. We have learnt that the value of g is constant at a given place. Therefore at a given place, the weight of an object is directly proportional to the mass, say $m$, of the object, that is, $W$ αm. It is due to this reason that at a given place, we can use the weight of an object as a measure of its mass. Answer the following questions.
(i) Unit of acceleration due to the gravity (g) is
$(a)$ m/s
$(b)$ $m/s^2$
$(c)$ Newton$(N)$
$(d)$ None of these
(ii) Direction of weight of any object is
$(a)$ Always towards centre of earth
$(b)$ Always away from centre of earth
$(c)$ Weight don’t have direction
$(d)$ None of these
(iii) Which of the following has same unit
$(a)$ Mass and weight
$(b)$ Weight and force
$(c)$ Velocity and acceleration
$(d)$ None of these
(iv) Whether weight is scalar quantity or vector quantity? Justify your answer.
(v) Differentiate between mass and weight.


