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
\(\frac{\sqrt{GM}}{R}\)
Verified Correct Answer: B.
Physical Principles & Numerical Solution
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:
\(v_e = \frac{\sqrt{2GM}}{R}\)
Source: Myschool Past Questions Archive (Record #69364)