ashleigh431 ashleigh431

24-02-2018
Physics

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calculate the velocity of a satellite moving in a stable circular orbit around the Earth at a height of 4000 km

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laurawinter1p43zv5 laurawinter1p43zv5

24-02-2018

For a circular orbit, the force of gravity must equal the centripetal force on the satellite.

[tex] \frac{GmM}{R^2} = m \frac{v^2}{R} [/tex]

G gravitational constant
M mass of earth
m mass of satellite
R radius of orbit

the mass m cancels:
[tex]v = \sqrt{\frac{GM}{R}} [/tex]

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