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=Gmp(7,000 km)−−−−−−−√
v=Gmp(7,000 km)−−−−−−−√
v=Gmp(200 km)−−−−−−√
v=Gmp(200 km)−−−−−−√
v=1(7,000 km)Gmp−−−−√
v=1(7,000 km)Gmp−−−−√
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))
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 / 200 km)
The correct equation to find the velocity of a satellite in a low Earth orbit is:
v = (G * mp / r)^(1/2)
Here, v represents the velocity of the satellite, G is the universal gravitational constant, mp is the mass of the planet, and r is the distance from the center of the planet to the satellite (in this case, the radius of the orbit).
To determine which equation matches this formula, we can analyze each option:
1. v = Gmp(7,000 km)^(1/2)
2. v = Gmp(7,000 km)^(1/2)
3. v = Gmp(200 km)^(1/2)
4. v = Gmp(200 km)^(1/2)
By comparing each option with the correct equation, it can be concluded that option 3 is the correct choice:
v = Gmp(200 km)^(1/2)