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Velocity Dependent Force

  1. Nov 7, 2016 #1
    A particle of mass m moving parallel to the x-axis is actuated by a speed-dependent force directed against its movement. The force is given by:

    F → = -be ^ CV I

    where b is a positive constant (N units), and IA also a positive constant (units of s-1 m) and v is the velocity, the magnitude of the particle velocity (unit m · s -1).

    If t = 0, the particle moves with velocity v0. Find the speed v (t) as a function of time t. Express your answer in terms of some or all of the following: b, m, t, c, v0. Use ln () for the natural logarithm function and e ^ () to the exponential function, if necessary.

    v (t) =?

    2. Relevant equations

    v (t) =

    3. The attempt at a solution

    v (t) = (v_0 * b * cos (* t v_0) v_0 * + C * cos (* t v_0))
     
  2. jcsd
  3. Nov 7, 2016 #2
    please show your working.
     
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