Chapter 14, Problem 12A

To determine

To identify: Whether the satellite is closer or farther from the Earth when its speed is greatest.

Answer to Problem 12A

The speed of satellite is greatest when closer to earth and least when farther from earth.

Explanation of Solution

Introduction:

The orbital speed equation of a satellite around the Earth is

  $v=\sqrt{\frac{G\times M_E}{R}}$

A satellite revolves in an elliptical pathway. It is observed from the above relation that velocity is inversely proportional to the orbital distance. So, when the satellite goes away from the Earth the speed will be less and when it comes near the Earth, the speed will be more.

Conclusion:

Therefore, a satellite speeds up as it comes closer to Earth .