Respuesta :
Answer:[tex]v=\sqrt{\frac{Gm}{r}}[/tex]
Explanation:
Given
Orbital speed is v
Mass of planet is m
Radius of circular orbit is r
suppose M is the mas of satellite then centripetal force on satellite is equal to the Gravitational Pull.
[tex]\frac{Mv^2}{r}=\frac{GMm}{r^2}[/tex]
where G=gravitational constant
thus on solving we get
[tex]v=\sqrt{\frac{Gm}{r}}[/tex]
The orbital speed v of a satellite in a circular orbit of radius r around a planet of mass m should be v = √Gm/r.
Calculation of the orbital speed:
Since
Orbital speed is v
Mass of planet is m
The radius of the circular orbit is r
Here we assume M is the mass of the satellite so the centripetal force on the satellite should be equivalent to the Gravitational Pull.
So,
Mv^2 /r = GMm/r^2
Here
G=gravitational constant
So, v = √Gm/r.
Learn more about speed here: https://brainly.com/question/17808264
