To find the speed of a satellite in a circular orbit, we can use the formula:
v = √(G * Me / r)
where v is the speed of the satellite, G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2), Me is the mass of the Earth (5.98 × 10^24 kg), and r is the distance between the satellite and the center of the Earth (1.28 × 10^7 m).
Plugging in the given values, we have:
v = √((6.67430 × 10^-11 m^3 kg^-1 s^-2) * (5.98 × 10^24 kg) / (1.28 × 10^7 m))
Evaluating this expression, we find that the speed of the satellite is approximately 7675.57 m/s (rounded to five decimal places).
So, the speed of the satellite is approximately 7675.57 m/s.
