Question

Calculate value of acceleration due to gravity inside earth depth equal to half the radius?​

Answer 1

g' = 5 m/sec^2

Hence, The value of gravitational acceleration at a depth equal to half of the radius of the earth is 5 m/sec^

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Explanation:

Answer 2

Explanation:

g = Gm/r²

If we take r = r/2

Then,

g = Gm/(r/2)

g = Gm/ r²/4

gr² = 4Gm -----------(1)

put Gm = gr²/4

g = gr²/4 / r²

gr² = gr²/4

g = g/4

g = 4g

Proved

And g is inversely proportional to r²

when radius of earth decreases then the value of g increases