Physics - Gravitation Question with Solution | TestHub
A satellite of mass is orbiting the Earth in a circular orbit of radius . The minimum energy required to project it out of the Earth's gravitational field from this orbit is . What is the total mechanical energy of the satellite in its orbit?
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Solution:
For a satellite in a circular orbit, its total mechanical energy () is negative, indicating it is bound to the Earth.
The minimum energy required to project the satellite out of the Earth's gravitational field from its orbit is equal to the negative of its total mechanical energy. This is also known as the binding energy. Given that this minimum energy is , we have: Therefore, the total mechanical energy of the satellite in its orbit is.
