Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of earth. How much it would weigh at R/4 depth under surface of earth ?

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​ At surface: mg = 300 N m = g s ​ 300 ​ At Depth 4 R ​ : g d ​ = g s ​ [ 1 − R d ​ ] g d ​ = g s ​ [ 1 − 4 R R ​ ] g d ​ = 4 3 g s ​ ​ ​ weight at depth = m × g d ​ ​ = m × 4 3 g s ​ ​ = 4 3 ​ × 300 = 225 N ​

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