A research satellite of mass 200 kg circles the earth in an orbit of average radius 3R/2 where R is the radius of the earth. Assuming the gravitational pull on a mass of 1 kg on the earth’s surface to be 10 N, the pull on the satellite will be (nearly)

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890 N

889 N

892 N

880 N

answer is A.

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Detailed Solution

$\begin{array}{l} g^{'} = g {(\frac{R}{R + h})}^{2} = g {(\frac{R}{3 R / 2})}^{2} = \frac{4}{9} g \\ ∴ W^{'} = \frac{4}{9} \times mg = \frac{4 \times 200 \times 9 .8}{9} = 880 N \end{array}$

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