Let G be the universal gravitational constant and mp be the mass of the planet a satellite is orbiting. Which equation could be used to find the velocity of the satellite if it is placed in a geostationary orbit?(1 point)

Responses

v=Gmp(7,324 km)−−−−−−−√

v=Gmp(48,115 km)−−−−−−−−√

v=Gmp(42,164 km)−−−−−−−−√

v=Gmp(15,522 km)−−−−−−−−√

1 answer

The correct equation to find the velocity of the satellite in a geostationary orbit would be:

v = sqrt(Gmp / R)

where R is the distance between the center of the planet and the satellite, which is approximately equal to 42,164 km.

Therefore, the correct equation is:

v = Gmp(42,164 km)−−−−−−−−√