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/(48,115 km)
v=√Gmp/(42,164 km)
v=√Gmp/(15,522 km)
v=√Gmp/(7,324 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)
Which factor is not needed when calculating the velocity of a satellite orbiting a planet?(1 point) Responses the orbital radius of the satellite the orbital radius of the satellite the mass of the planet the mass of the planet the universal gravitational constant the universal gravitational constant the mass of the satellite
The factor that is not needed when calculating the velocity of a satellite orbiting a planet is the mass of the satellite.
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 low Earth orbit?(1 point) Responses
v=1/(7,000 km) √Gmp
v=√Gmp/(7,000 km)
v=√Gmp/(200 km)
v=1/(200 km) √Gmp
The equation that could be used to find the velocity of the satellite if it is placed in a low Earth orbit is:
v=√Gmp/(7,000 km)
To find the velocity of a satellite in a geostationary orbit, we can use the equation:
v = √(Gmp/r)
Where:
v = velocity of the satellite
G = universal gravitational constant
mp = mass of the planet
r = radius of the orbit
In a geostationary orbit, the satellite remains fixed over a certain point on the planet's surface and completes one orbit in 24 hours. The radius of the orbit (r) for a geostationary orbit is approximately 35,786 km.
Plugging in the values, the correct equation would be:
v = √(Gmp/(35,786 km))
Therefore, none of the provided options (48,115 km, 42,164 km, 15,522 km, 7,324 km) are correct.
To find the velocity of a satellite in a geostationary orbit, we can use the equation:
v = √(Gmp/r)
where:
v = velocity of the satellite
G = universal gravitational constant
mp = mass of the planet
r = radius of the geostationary orbit
In this case, we are given different values for the radius of the geostationary orbit:
1. v = √(Gmp/(48,115 km))
2. v = √(Gmp/(42,164 km))
3. v = √(Gmp/(15,522 km))
4. v = √(Gmp/(7,324 km))
To determine which equation is correct, we need to know the actual value of the radius of a geostationary orbit. The correct answer will be the equation with the correct radius value.