A space agency sent a satellite to a nearby planet to take photographs over a period of several years. The satellite orbits the planet once every 6 hours and 10 minutes. If the satellite is orbiting at a radius of 9.44∗10^7 m, what is the mass of the planet?   4.34∗10^26 kg   8.22∗10^29 kg   1.01∗10^27 kg   7.04∗10^26 kg

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Chapter1: Units, Trigonometry. And Vectors
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A space agency sent a satellite to a nearby planet to take photographs over a period of several years. The satellite orbits the planet once every 6 hours and 10 minutes. If the satellite is orbiting at a radius of 9.44∗10^7 m, what is the mass of the planet?
 
4.34∗10^26 kg
 
8.22∗10^29 kg
 
1.01∗10^27 kg
 
7.04∗10^26 kg

 

Expert Solution
Step 1

Answer

Time of revolution of satellite around planet

T = 6 hours 10 minutes

T = 2600 s + 600 s

T = 22200 s

Radius of orbit of satellite R=9.44×107m

speed of satellite v=2πRT

                v=2×π×9.44×10722200

               v=2.67×104 m/s

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