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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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