Question
In: Physics
A 200.0 kg artificial satellite circling the earth completes each orbit in 240.0 minutes. Find the...
A
200.0 kg artificial satellite circling the earth completes each
orbit in 240.0 minutes. Find the altitude of the satelite above the
surface of the earth.
Find the gravitational force on the satellite
Solutions
Expert Solution
Given Data
Mass of the satellite= 200Kg
Period of the Satellite = 240min=240*60 sec
We Know that
Mass of the Earth = 
Radius of the Earth= 
Gravitational Constant, G= 
Satellite moving in a circular orbit around the earth experiences a gravitational pull from the earth which provides the necessary centripetal force for the satellite to maintain its circular orbit.
The period of a satellite orbiting the earth or any other planet is the time it takes for the satellite to make one complete revolution. The circumference of the orbit is the distance the satellite travels in one period. Time period of the satellite is given by:
where: v is the orbital speed of the satellite and r is the orbital radius
Where v is
where G is the gravitational constant, M is the Mass of the Earth
and r= R+h, R is the Radius of Earth and h is the altitude
above the surface of Earth
On substituting the value of v in T, we have
and 
r
m
The altitude of the Satellite above the surface of earth,
m
Gravitational force on the satellite is given by
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