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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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 ?

G1 Physics · Accepted Answer

At depth d below Earth's surface: g(d) = g[1 - d/R] Given: d = R/4 Therefore: g(d) = g(1 - 1/4) = 3g/4 Weight at the surface = 300 N. Hence weight at depth: W(d) = 300 × 3 4 \frac{3}{4} 4 3 ​ = 225 N