Q.

Energy required to transfer a 400 kg satellite in a circular orbit of radius 2R to a circular orbit of radius R, where R is the radius of the earth :[Given : g = 9.8 ms-2 ,R = 6.4 x 106m]

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a

1.65 x 109 J

b

3.13 x 109 J

c

6.26 x 109 J

d

4.80 x 109 J

answer is B.

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Detailed Solution

Energy required =−GMem2(4R)−−GMem2(2R)=GMemR14−18=mgR18=400×9.8×6.4×1068=3.13×109J
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Energy required to transfer a 400 kg satellite in a circular orbit of radius 2R to a circular orbit of radius R, where R is the radius of the earth :[Given : g = 9.8 ms-2 ,R = 6.4 x 106m]