Question:
Consider a satellite moving in a circular orbit around Earth. If $K$ and $V$ denote its kinetic energy and potential energy respectively then (Choose the convention where $V = 0$ as $r \to \infty$)
Consider a satellite moving in a circular orbit around Earth. If $K$ and $V$ denote its kinetic energy and potential energy respectively then (Choose the convention where $V = 0$ as $r \to \infty$)
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In circular orbits, total energy $E = -K$ and $V = -2K$.
Updated On: May 1, 2026
- $K = V$
- $K = 2V$
- $V = 2K$
- $K = -2V$
- $V = -2K$
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The Correct Option is
Solution and Explanation
Concept:
For circular orbit: \[ K = \frac{GMm}{2r}, \quad V = -\frac{GMm}{r} \]
Step 1: Relate $K$ and $V$.
\[ V = -2K \]
Step 2: Interpret relation.
Potential energy is negative and twice the magnitude of kinetic energy. \[ \Rightarrow V = -2K \]
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