Two satellites A and B with the same mass orbit the Earth inconcentric orbits. T

Question

Two satellites A and B with the same mass orbit the Earth inconcentric orbits. The distance of satellite B from theearth's center is four times that of satellite A. What is the ratio of the tangential speed of satellite B tothat of satellite A? a) vB/vA = 1/2 b) vB/vA = 1/64 c) vB/vA = 1/4 d) vB/vA = 2 e) vB/vA = 64 f) vB/vA = 4 g) vB/vA = 1/16 h) vB/vA = 16 Two satellites A and B with the same mass orbit the Earth inconcentric orbits. The distance of satellite B from theearth's center is four times that of satellite A. What is the ratio of the tangential speed of satellite B tothat of satellite A? a) vB/vA = 1/2 b) vB/vA = 1/64 c) vB/vA = 1/4 d) vB/vA = 2 e) vB/vA = 64 f) vB/vA = 4 g) vB/vA = 1/16 h) vB/vA = 16

Explanation / Answer

va=tangential speed of satellite A vb=tangential speed of satellite B M=mass of the earth (G*M*m)/r2=(m*v2)/r v2*r=G*M va2*r=G*M vb2*4*r=G*M (va2*r)=(vb2*4*r) va/vb=2/1 the answer is a)vb/va=1/2

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