Question

find acceleration due to gravity at certain height and at certain depth.

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Answer 1

Consider a test mass (m) taken to a distance (d) below the earth's surface, the acceleration due to gravity that point (gd) is obtained by taking the value of g in terms of density. When the depth d = 0, the value of g on the surface of the earth gd = g.

Answer 2

Correct answer:-

➙ Consider a test mass (m) taken to a distance (d) below the earth’s surface, the acceleration due to gravity that point (gd) is obtained by taking the value of g in terms of density.

On the surface of the earth, the value of g is given by;

g = 4/3 × πρRG.

At a distance (d) below the earth’s surface, the acceleration due to gravity is given by;

gd = 4/3 × πρ × (R – d) G.

On dividing the above equations we get,

gd = g (R – d)/R.

When the depth d = 0, the value of g on the surface of the earth gd = g.

When the depth d = R, the value of g at the centre of the earth gd = 0.

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