Gravitational Potential Energy

Time period of satellite
where is mass of earth
where is radius of the orbit, is the height of satellite from the earth's surface.

Step 1: Understanding the Concept
The total mechanical energy of a satellite is the sum of its kinetic energy ( ) and its gravitational potential energy ( ).

Step 2: Key Formula or Approach
1. Potential Energy: 2. Kinetic Energy: , where orbital velocity . 3. Total Energy:

Step 3: Detailed Explanation
1. Calculate Kinetic Energy ( ): 2. State Potential Energy ( ): 3. Sum for Total Energy ( ):

Step 4: Final Answer
The total mechanical energy is .