CONCEPT PART!! Two satellites are in circular orbits around the earth. The orbit

Question

CONCEPT PART!! Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 360 km above theearth's surface, while that for satellite B is at a height of 720km. A) Which satellite has the greater orbital speed? Explain youranswer. B) The speed of a satellite in a circular orbit is given by (v= ([GMe)/r] ). In this expression, do you substitutethe heights of 360x103 m and720x103 for the term r? Explain your answer. PROBLEM PART!! Find the orbital speed for each satellite. Check to seethat your answers are consistent with your answers to the CONCEPTPART. CONCEPT PART!! Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 360 km above theearth's surface, while that for satellite B is at a height of 720km. A) Which satellite has the greater orbital speed? Explain youranswer. B) The speed of a satellite in a circular orbit is given by (v= ([GMe)/r] ). In this expression, do you substitutethe heights of 360x103 m and720x103 for the term r? Explain your answer. PROBLEM PART!! Find the orbital speed for each satellite. Check to seethat your answers are consistent with your answers to the CONCEPTPART.

Explanation / Answer

where r = orbital radius = R + h          R = Radius ofearth we know orbital speed v 1 / r So, low height satellite have greater orbital speed. (B). orbital speed v = [ GM / r ]                              = [ GM / ( R + h ) ] where R = 6400 km            h= 360 km            G= GRavitational constnt= 6.67 * 10 ^ -11 N m ^ 2 / kg ^ 2            M= Mass of earth = 5.98 * 10 ^ 24 kg substitue values we get v = 7681.396 m / s                                       = 7.681 km / s for satellite B , h = 720 km So, v = 7.484 km / s No

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