A satellite of mass 5580 kg orbits the Earth and has a period of 6590 s. Determine the radius of its circular orbit, the magnitude of the Earth's gravitational force on the satellite and the altitude of the satellite. Express your answers using three significant figures and include the appropriate units.
A satellite of mass 5580 kg orbits the Earth and has a period of 6590 s. Determine the radius of its circular orbit, the magnitude of the Earth's gravitational force on the satellite and the altitude of the satellite. Express your answers using three significant figures and include the appropriate units.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A satellite of mass 5580 kg orbits the Earth and has a period of 6590 s.
Determine the radius of its circular orbit, the magnitude of the Earth's gravitational force on the satellite and the altitude of the satellite.
Express your answers using three significant figures and include the appropriate units.
Expert Solution
Step 1
Given that,
Mass of a satellite, m = 5580 kg
The period of the satellite, T = 6590 s
The velocity of a satellite on a circular orbit is given by :
....(1)
Where
G is Universal Gravitational constant
M is the mass of Earth
r is the radius of Earth
The expression for the velocity of a satellite in one revolution is given by :
....(2)
Also, ...(3)
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