1.

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

Answer»

(B) 100 N

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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