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Gravity and gravitation

Assuming earth to be a sphere of uniform mass density, how muc

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Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed $100 N$ on the surface?

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Updated on: Dec 8, 2022

Book:

Mechanics Volume 2 (DC Pandey)

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Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed

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Text solutionVerified

m g d g^{'} m g^{'} = 100 N \Rightarrow g^{'} = g (1 - \frac{d}{R}) = \frac{R}{2} \Rightarrow \frac{d}{R} = \frac{1}{2} = g (1 - \frac{1}{2}) = \frac{g}{2} = \frac{m g}{2} = \frac{100}{2} = 50 N

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Question Text	Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed $100 N$ on the surface?
Updated On	Dec 8, 2022
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 3
Upvotes	401
Avg. Video Duration	10 min

Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed $100 N$ on the surface?

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Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed 100N on the surface?

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Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed $100 N$ on the surface?