An artificial Earth satellite moves around the Earth evenly in a circle, its centripetal acceleration is 2.5 m / s ^ 2.

An artificial Earth satellite moves around the Earth evenly in a circle, its centripetal acceleration is 2.5 m / s ^ 2. What is the distance from the Earth’s surface to the satellite? Acceleration of gravity at the Earth’s surface is equal to 10 m / s ^ 2. Express the distance in the radii of the Earth.

For an artificial Earth satellite, the centripetal acceleration is equal to the acceleration of gravity at the altitude of the satellite.
Hence, ac = go (R / (R + h)) ^ 2, hence h = R.