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Sliding object against air resistance, working out when object comes to rest

  1. Oct 30, 2011 #1
    1. The problem statement, all variables and given/known data

    A sledge of mass m = 85 kg has initial velocity v0 = 45 m/s and is moving horizontally along a straight line. The net force acting on the sledge is solely due to air resistance and is given by F = −k v2, where the constant is given by k = 1.2 kg/m. Find where the sledge will come to a stand still.


    2. Relevant equations

    I worked out that the velocity is given as v=(mv0)/(m+tkv0).


    3. The attempt at a solution

    I tried setting the velocity=0 but obviously that gives no answers. I then tried to differentiate the velocity to get the acceleration but I don't think this is the right route to go down.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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