the acceleration due to gravity in this orbit where a satellite is orbiting the earth a distance re above its surface is 2.45 m/s2
What is gravity ?
The force that pulls items toward the centre of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity
From the given infromation-
Gravitational constant = G
Mass of Earth = M
Radius of Earth = [tex]R_{e}[/tex]
Gravitational acceleration at the surface of Earth = g = 9.8 m/s2
[tex]g = \frac{GM}{R_{e} ^{2} }[/tex]
Altitude at which the satellite orbits Earth = H = [tex]R_{e\\}[/tex]
Orbital radius of the satellite = R
R = [tex]R_{e}[/tex]+ H
R = [tex]R_{e}[/tex]+ [tex]R_{e}[/tex]
R = 2 [tex]R_{e}[/tex]
Acceleration due to gravity in this orbit = [tex]g_{o}[/tex]
[tex]g_{o} = \frac{GM}{R_{e}^{2} }[/tex]
[tex]g_{o} = \frac{GM}{2 ( R_{e}^{2} ) }[/tex]
[tex]g_{o} = \frac{g}{4}[/tex]
[tex]g_{o} = \frac{9.8}{4}[/tex]
[tex]g_{o}[/tex] = 2.45 m/s2
Acceleration due to gravity in this orbit = 2.45 m/s2
Hence the acceleration due to gravity in this orbit where a satellite is orbiting the earth a distance re above its surface is 2.45 m/s2
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