RELATION BETWEEN WEIGHT OF AN OBJECT ON MOON AND ON EARTH--Q) Find the weight of an object in moon, if its weight is 10 newton in Earth
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Answers
Answer:
it will be 16.25 newton
Explanation:
The unit of weight
Since, weight of an object is equal to the force by which an object is attracted towards earth, therefore, unit of weight is same as the unit of force.
Therefore, Unit of weight is ‘newton (N)’.
Weight of an Object on the Surface of Moon
Since, weight of an object on the earth is the force by which earth attracts that very object towards it. In similar way, weight of an object on the surface of moon or any other planet is the force by which moon or any other planet will attract the object towards it.
We know that,
The Mass of Earth = 5.98 × 10 24 kg
Radius of earth = 6.37 × 106 m
Mass of moon = 7.36 × 1022 kg
Radius of moon = 1.76 × 106 m
Since, mass of the moon is less than that of earth, therefore, moon will exert less force of attraction on any object; in comparison to the earth.
Let mass of an object is ‘m’
The weight of the object on earth is We
The weight of the object on moon is Wm
Mass of the earth is M
Mass of the moon is Mm
Radius of earth is R
Radius of moon is Rm
Acceleration due to gravity on earth is ‘g’
Acceleration due to gravity on moon is ‘gm’.
Therefore,
Weight of the object on earth We = m × g
The answer to ur question will be 16.25 N(newtons)