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=1(200 km)Gmp−−−−√
v=Gmp(200 km)−−−−−−√
v=1(7,000 km)Gmp−−−−√
v=Gmp(7,000 km)−−−−−−−√
The correct equation to find the velocity of a satellite in a low Earth orbit is:
v = √(Gmp / r)
where v is the velocity, G is the universal gravitational constant, mp is the mass of the planet, and r is the radius of the orbit (in this case, 200 km).
So, the correct equation is:
v = √(Gmp / 200 km)
Therefore, the correct response is:
v = Gmp(200 km)−−−−−−−√
The correct equation to find the velocity of a satellite in a low Earth orbit can be derived using the principles of circular motion and the law of universal gravitation. The equation is:
v = √(G * mp / r)
Where:
- G is the universal gravitational constant,
- mp is the mass of the planet the satellite is orbiting, and
- r is the distance between the center of the planet and the satellite's orbit (in this case, the altitude of the low Earth orbit, which is approximately 200 km).
Therefore, the correct equation is:
v = √(G * mp / 200 km)