A planet has mass, M, and radius R, If the universal gravitational constant is G, what is the expression for the escape velocity of an object on the planet?
- \(\frac{\sqrt{GR}}{2}\)
-
\(\frac{\sqrt{2GM}}{R}\)
- \(\frac{\sqrt{2G}}{R}\)
- \(\frac{\sqrt{GM}}{R}\)
The correct answer is: B
Explanation
The expression for the escape velocity \(v_e\) of an object from a planet of mass M and radius R using the universal gravitational constant G is:
\(v_e = \frac{\sqrt{2GM}}{R}\)