Concept explainers
(a)
The energy that must be added to the system to move the satellite into circular orbit.
(a)
Answer to Problem 13.39P
The energy that must be added to the system to move the satellite into circular orbit is
Explanation of Solution
Given info: The mass of the satellite is
Consider radius of earth as
Write the expression for initial radius of orbit.
Here,
Write the expression for final radius of orbit.
Here,
Write the expression for energy added to increase the satellite orbit.
Here,
Substitute
Substitute
Conclusion:
Therefore, the energy must be added to the system to move the satellite into circular orbit is
(b)
The change in system’s Kinetic energy.
(b)
Answer to Problem 13.39P
The change in system’s Kinetic energy is
Explanation of Solution
Given info: The mass of the satellite is
Consider radius of earth as
Write the expression for change in kinetic energy.
Substitute
Conclusion:
Therefore, the change in system’s Kinetic energy is
(c)
The change in system’s Potential energy.
(c)
Answer to Problem 13.39P
The change in system’s Potential energy is
Explanation of Solution
Given info: The mass of the satellite is
Consider radius of earth as
Write the expression for change in Potential energy.
Substitute
Conclusion:
Therefore, the change in system’s Potential energy is
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