A 270 kg satellite is orbiting on a circular orbit 6180 km above the Earth's surface....
A 270 kg satellite is orbiting on a circular orbit 6180 km above the Earth's surface. Determine the speed of the satellite. (The mass of the Earth is 5.97×1024 kg, and the radius of the Earth is 6370 km.)
Homework Answers
here,
the mass of satellite , m = 270 kg
altitude of orbit , A = 6180 km = 6.18 * 10^6 m
mass of earth , M = 5.97 * 10^24 kg
radius of earth , R = 6370 km = 6.37 * 10^6 m
the speed of satellite , v = sqrt(G * M /(R + A))
v = sqrt(6.67 * 10^-11 * 5.97 * 10^24 /(6.18 * 10^6 + 6.37 * 10^6))
v = 5.63 * 10^3 m/s
the speed of satellite is 5.63 * 10^3 m/s
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