A body weighs 200 N on the surface of the Earth. How much will it weigh half way down to the centre of the Earth?
(A) 250 N
(B) 100 N
(C) 150 N
(D) 200 N
Answered Feb 05, 2023
Acceleration due to gravity at depth d,
gd = g (1 – \(\frac{d}{R}\))
= g(1 – \(\frac{1}{2}\)) …(∵ d = \(\frac{1}{2}\))
∴ gd = \(\frac{g}{2}\)
Weight of the body at depth d = R/2,
Wd = mgd = m × g/2 = \(\frac{1}{2}\) × 200
∴ Wd = 100 N
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