F=ma 2012 Problem 9

A uniform spherical planet has radius R and the acceleration due to gravity at its surface is g. What is the escape velocity of a particle from the planet’s surface?

Answer Choices
A. \frac{1}{2} \sqrt{g R}
B. \sqrt{g R}
C. \sqrt{2 g R}
D. 2 \sqrt{g R}
E. The escape velocity cannot be expressed in terms of g and R alone.