Final answer:
To calculate the time it takes for a satellite to complete one full orbit around the Earth, we can use Kepler's third law. According to Kepler's third law, the square of the orbital period is directly proportional to the cube of the distance between the satellite and the Earth's center.
Step-by-step explanation:
To calculate the time it takes for a satellite to complete one full orbit around the Earth, we can use Kepler's third law. According to Kepler's third law, the square of the orbital period is directly proportional to the cube of the distance between the satellite and the Earth's center.
Let's plug in the given values into the formula:
Period of satellite = √((distance3) / (G * (mass of Earth)))
Using the given values:
Period of satellite = √((9325 km)3 / (6.674 × 10-11 m3 kg-1 s-2 * (5.97 × 1024 kg)))
Converting kilometers to meters and solving the above equation will give us the time taken for one full orbit. The correct answer is option c)146 minutes.