A satellite is in a circular orbit about the Earth at a distance of one Earth radius above the surface. What is the speed of the satellite? (The radius of the Earth is 6.4 * 106 m, and G = 6.67 * 10-11 N⋅m 2 / kg2.)

The speed of the satellite is 25.57*10⁻⁵ m/s

Explanation:

Satellite: These are bodies which move in orbit around the moon or planets. Some of them are are natural, others are artificial, i. e man-made.

The speed of a satellite in its orbit is represented by the expression below.

v = √ (rg) ... Equation 1

Where v = speed or velocity of the satellite, r = radius of the earth, g = acceleration due to gravity of the earth

Given: r = 6.67*10⁻¹¹ m

Constant: g = 9.8 m/s²

Substituting these values into equation 1,

v = √ (9.8*6.67*10⁻¹¹)

v = √ (65.366*10⁻¹¹)

v = 25.57*10⁻⁵ m/s

Thus the speed of the satellite is 25.57*10⁻⁵ m/s