A geosynchronous satellite is a satellite orbiting the Earth above a fixed point at the equator of the Earth. It is known that the gravitational acceleration due to Earth at a distance r from the center of the Earth varies according to gr = gR R²/r². In this expression, R is the radius of the Earth, R 6370 km, and gR is the gravitational acceleration on the surface of the Earth, gr≈ 9.8 m/s². Determine "height" a. the radius of a geosynchronous orbit in kilometers and in miles, and b. the "height" of the satellite in the orbit from the surface of the Earth in miles.

A geosynchronous satellite is a satellite orbiting the Earth above a fixed point at the equator of the Earth. It is known that the gravitational acceleration due to Earth at a distance r from the center of the Earth varies according to gr = gR R²/r². In this expression, R is the radius of the Earth, R 6370 km, and gR is the gravitational acceleration on the surface of the Earth, gr≈ 9.8 m/s². Determine "height" a. the radius of a geosynchronous orbit in kilometers and in miles, and b. the "height" of the satellite in the orbit from the surface of the Earth in miles.