Question

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

Answer 1

Explanation:

Weight of a body of mass m at the Earth’s surface, W = mg = 250 N

Body of mass m is located at depth, d = (1/2)Re

Where,

Re = Radius of the Earth

Acceleration due to gravity at depth g (d) is given by the relation:

g‘ = (1 – (d / Re)g

= [1 – (Re / 2Re) ]g = (1/2)g

Weight of the body at depth d,

W‘ = mg‘

= m × (1/2)g = (1/2) mg = (1/2)W

= (1/2) × 250 = 125 N

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Answer 2

Explanation:

please refer to the attachment