Calculating Escape Velocity of a Planetary Body

[btpolk]

Homework Statement

Determine the escape velocity of a planetary body that has a radius 5 times greater than its Schwarzschild radius.

Homework Equations

Schwarzschild radius=(2GM)/c^2

escape velocity=√(2GM/r)

The Attempt at a Solution

v=√((2GMc^2)/(10GM))=√(c^2/5)

Is this right?

 

[gneill]

Looks okay, but you can simplify a bit further: pull the c² out of the square root.

 

[btpolk]

Is the "M" in the Schwarzschild radius formula represent the same thing as the "M" in the escape velocity formula?

 

[gneill]

Is the "M" in the Schwarzschild radius formula represent the same thing as the "M" in the escape velocity formula?

Yes, it does.