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Physics Question on Escape Speed

Two satellites S 1 and S 2 are revolving in circular orbits around a planet with radius R 1 = 3200 km and R 2 = 800 km respectively. The ratio of speed of satellite S 1 to the speed of satellite S 2 in their respective orbits would be 1/x where x =

Answer

v=GMRv=\sqrt\frac{GM}{R}

v1v2=R2R1⇒\frac{v_1}{v_2}=\sqrt\frac{R_2}{R_1}

v1v2=3200800=2\frac{v_1}{v_2}=\sqrt\frac{3200}{800}=2

v1v2=12⇒\frac{v_1}{v_2}=\frac{1}{2}

x = 2