The time period of a satellite in an orbit around the earth is 90 minutes. What is

the kinetic energy, potential energy and the total mechanical energy of the satellite?

http://www.physicsclassroom.com/class/circles/Lesson-4/Mathematics-of-Satellite-Motion

and

https://physics.info/orbital-mechanics-2/practice.shtml

To calculate the kinetic energy, potential energy, and total mechanical energy of the satellite, we will need some additional information. Specifically, we need the mass of the satellite, the radius of the Earth, and the height of the satellite above the Earth's surface. Once we have access to that information, we can proceed with the calculations.

1. Kinetic Energy:
The kinetic energy of the satellite is given by the formula:

KE = (1/2) * m * v^2

where KE is the kinetic energy, m is the mass of the satellite, and v is the velocity of the satellite. To find the velocity, we can use the equation:

v = (2 * π * r) / T

where r is the distance between the satellite and the center of the Earth (radius of the Earth plus height of the satellite) and T is the time period of the satellite.

2. Potential Energy:
The potential energy of the satellite is given by the formula:

PE = -G * (M * m) / r

where PE is the potential energy, G is the gravitational constant, M is the mass of the Earth, m is the mass of the satellite, and r is the distance between the satellite and the center of the Earth.

3. Total Mechanical Energy:
The total mechanical energy of the satellite is the sum of the kinetic energy and potential energy. Hence:

Total Mechanical Energy = KE + PE

Now, with all the required information, we can calculate the values. Remember to convert the time period from minutes to seconds for accurate calculations.

I hope this explanation helps!