Potential Energy of an Artificial Satellite – Rankers Physics

Planet and Satellite: Practice Problem & Solution

An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy \( E_0 \). Its potential energy is:
\( -E_0 \)
\( 1.5E_0 \)
\( 2E_0 \)
\( -2E_0 \)

Solution Explained:

To solve this problem, we apply the core principles of Planet and Satellite. Understanding the underlying formula is key to arriving at the correct answer below:

For a satellite in circular orbit, Potential Energy is \( U = -\frac{GMm}{r} \) and Total Energy is \( E_0 = -\frac{GMm}{2r} \). Thus, Potential Energy is twice the Total Energy, \( U = 2E_0 \).

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