Question

Show that weight of all body is zero at Centre of earth?

Answer 1

Hello guys this is your answer


By Newton’s law of gravitation, we derive that gravity is equal to GM/R², hence when we travel inside the Earth, with increase in depth, the apparent radius and apparent mass of Earth change. Therefore gravity at a point at depth 'd' from the surface of Earth becomes equal to g*[(R-d)/R].
Weight of a body at a place is the product of its mass and the value of gravity at that place. Hence , by using the above relation, the gravity at the centre of the Earth is 0. Hence the weight of the body also becomes 0.
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