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? - Physics MCQ NEET 2019 2026 | ExamTest.live

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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?

Solution & Step-by-step Explanation

Acceleration due to gravity at depth d is given by g^{'} = g (1 - \frac{d}{R}) .Weight W^{'} = m g^{'} = m g (1 - \frac{d}{R}) = W (1 - \frac{d}{R}) .Halfway down means d = R /2 . W^{'} = 200 \times (1 - \frac{R /2}{R}) = 200 \times (1 - 0.5) = 200 \times 0.5 = 100 N

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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?

150 N

200 N

250 N

100 N

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