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Escape Velocity

  1. Oct 4, 2011 #1
    1. The problem statement, all variables and given/known data
    The acceleration of gravity on the surface of Mars is 0.38g. The radius of Mars is 2100 miles. Determine the velocity of a particle projected in a radial direction outward from Mars and acted upon by only the gravitational attraction of Mars by first modeling the motion into a differential equation and then solving the differential equation. Use your result to determine the velocity of escape from Mars.


    2. Relevant equations
    v^(2) = [2gR^(2) / r] + C


    3. The attempt at a solution
    g = 0.38
    r = 2100 miles
    R = ?
    I don't understand the differential equation part at all. I'm confused because I'm only given 2 variables...

    Any help is appreciated
     
  2. jcsd
  3. Oct 4, 2011 #2

    gneill

    User Avatar

    Staff: Mentor

    Your differential equation should consist of an expression that relates the acceleration experienced by the projectile with the distance.
     
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