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Escape Velocity

  1. May 3, 2012 #1
    1. The problem statement, all variables and given/known data

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

    2. Relevant equations

    Schwarzschild radius=(2GM)/c^2

    escape velocity=√(2GM/r)

    3. The attempt at a solution

    v=√((2GMc^2)/(10GM))=√(c^2/5)

    Is this right?
     
  2. jcsd
  3. May 3, 2012 #2

    gneill

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    Staff: Mentor

    Looks okay, but you can simplify a bit further: pull the c2 out of the square root.
     
  4. May 3, 2012 #3
    Is the "M" in the Schwarzschild radius formula represent the same thing as the "M" in the escape velocity formula?
     
  5. May 3, 2012 #4

    gneill

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    Staff: Mentor

    Yes, it does.
     
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