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)−−−−−−−−√
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)−−−−−−−−√
The equation that could be used to find the velocity of the satellite if it is placed in a geostationary orbit is:
v = Gmp(42,164 km)^(-1/2)
To find the velocity of a satellite in a geostationary orbit, we can use the equation:
v = (G * mp * r)^(1/2)
Where:
v is the velocity of the satellite,
G is the universal gravitational constant,
mp is the mass of the planet,
r is the radius of the orbit.
In this case, a geostationary orbit has a radius of approximately 42,164 km. Thus, the correct equation would be:
v = Gmp(42,164 km)^(1/2)