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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 ?

1

150 N

2

200 N

3

250 N

4

100 N

Step-by-Step Solution

Acceleration due to gravity at a depth d from surface of earth g=g(1dR)g' = g(1 - \frac{d}{R}). Multiplying by mass 'm' on both sides, W=W(1dR)W' = W(1 - \frac{d}{R}). Given d=R/2d = R/2, W=200(11/2)=100W' = 200(1 - 1/2) = 100 N.

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