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?

A.

\(\frac{\sqrt{GR}}{2}\)

B.

\(\frac{\sqrt{2GM}}{R}\)

C.

\(\frac{\sqrt{2G}}{R}\)

D.

\(\frac{\sqrt{GM}}{R}\)

Correct answer is B

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:


\(v_e = \frac{\sqrt{2GM}}{R}\)