Question

Satellite A has mass MA 1997 kg and moves in a circular orbit of radius RA - 10.3x10 m around a planet (measured from its center). The mass of the planet is M - 6x10 kg and the universal gravitational constant is G = 6.67 x 10-11 NmⓇ/kg. 1) What is the speed V of the satellite ? OV - 7605 m/s OV- 13152 m/s OV - 6233 m/s OV-5109 m/s OV-8976 m/s Submit 2) Satellite B moves in a different circular orbit around the same planet. Satellite B has half the mass of satellite A and moves with twice the speed. How does the radius of the orbit of satellite B compare with that of satellite A? RB > RA RB = RA Rp <RA Submit

Answer 1

A handwritten solution for this question is given below

0 Yadim 72 Mass of the planet - Mp Mass of satelite -Ms, speed of satelite av, radius of orbitan Now, fg = gravitational force = GMp Ms { z centrifugal force a Ms v2 - GMMSMva - Kamp > C1) Here, Mp= 6*1024, y = 10:3x108m -V V J6i67 mito " XCX 1059= 6233 m/s 1 667x10" x6x1024 5 10.3x106 =627 (Ans) V2 From for ame I for B RB = GMP (2v) 2 ☺ we get, gozar A,.RA = CAMP ) for - - - AMP 2 I RA TRAYRE