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A body weighed 250N on the surface. Assuming the earth to be a sphere of uniform mass density, how much would it weigh half way down to the centre of earth?

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A body weighed 250N on the surface. Assuming the earth to be a sphere of uniform mass density, how much would it weigh half way down to the centre of earth?

(a) 240N

(b) 210N

(c) 195N

(d) 125N

I got this question during an online interview.

I need to ask this question from Intensity of Gravitational Field topic in portion Mechanical Properties of Solids of Engineering Physics I

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Best answer
Correct choice is (d) 125N

The best I can explain: At depth,

d=R/2

gd=g(1-d/R)=g(1-(R/2)/R)=g/2

New weight = mg/2=250/2=125N.

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