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Need help with escape velocity practice problem

  1. Oct 15, 2013 #1
    1. The problem statement, all variables and given/known data

    The radius of Saturn (from the center to just above the atmosphere) is 60300 km (60300✕103 m), and its mass is 570✕1024 kg. An object is launched straight up from just above the atmosphere of Saturn.

    What initial speed is needed so that when the object is far from Saturn its final speed is 28000 m/s?


    2. Relevant equations

    I'm using ΔE + ΔU = 0 and then I'm trying to derive the equation needed to solve it with the information I have. So I get Vi = sqrt(Vf^2 + 2GMs(1/Δr))

    Ms = mass of saturn

    3. The attempt at a solution

    The answer is 45300 m/s, but I'm getting something way higher with the equation I'm using.
     
  2. jcsd
  3. Oct 15, 2013 #2
    Just kidding. Figured it out, I messed up on the unit conversions.
     
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