Difference between Weight on earth and moon
Weight on earth
1.) Weight of object is the force exerted by earth on the object, which is product of mass of object and the acceleration due to gravity.
∴ weight = mass × acceleration due to gravity = mg
2) From above formula we can say that weight of object is directly proportional to acceleration due to gravity at the given point.
If ‘g’ is the acceleration due to gravity on the surface of earth, then the weight of body on the surface of earth can be, ∴ W = mg
3) For earth, the magnitude of acceleration due to gravity is 9.8 m/s2, then the weight of object of mass 100 kg on earth’s surface will be, ∴W = mg = 100 × 9.8 = 980 N
4) Weight of object on earth also changes from equator to poles.
5) Weight of object on the equator of earth is minimum, while it is maximum on the poles of earth.
6) Weight of object at the centre of earth will be zero.
Weight on moon
1) Weight of object is the force exerted by earth on the object, which is product of mass of object and the acceleration due to gravity.
∴ weight = mass × acceleration due to gravity = mg
2) From above formula we can say that weight of object is directly proportional to acceleration due to gravity at the given point.
If ‘gm’ is the acceleration due to gravity on the surface of moon, then the weight of body on the surface of moon can be,
∴ W = mgm
3) Acceleration due to gravity on the surface of moon is approximately six times smaller than that of earth, hence the weight of object of mass 100 kg on surface of moon will be,
∴ W = mgm =100 × 9.8/6 =163.33 N
4) The above illustration explains that the weight of object on moon is around six times smaller than that of its weight on the surface of earth.
5) The weight on moon is just of 16.5% of weight of object on earths surface.