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a satellite is orbiting the earth a distance re above its surface. what is the acceleration due to gravity in this orbit?

Sagot :

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

To learn more about gravity click here:

https://brainly.com/question/1832350

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