Two identical communication satellites A and B are moving in separate circular orbits…

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

Two identical communication satellites A and B are moving in separate circular orbits around the Earth. Satellite A is at a distance of

8.0\times10^{6}\,\text{m}

from the Earth’s centre, while satellite B is at

1.6\times10^{7}\,\text{m}

from the centre. (i) Obtain the ratio of their orbital speeds

v_A : v_B

. (ii) Calculate the numerical values of

v_A

and

v_B

. Use

GM_E = 3.986\times10^{14}\,\text{N\,m}^2\!\text{/kg}

. (iii) Find the ratio of their orbital periods

T_A : T_B