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Tension with acceleration

  1. Sep 14, 2008 #1
    1. The problem statement, all variables and given/known data
    A sphere of mass of 1.55 kg is accelerated upwards by a string to which the sphere is attached. Its speed increases from 2.21 m/s to 5.30 m/s in a time of 1.62 s. Calculate the tension in the string, assuming that the tension remains constant during that time.

    2. Relevant equations
    a = (delta)V/(delta)t
    T = m(g + a)
    m = wg

    3. The attempt at a solution

    a = (5.30 - 2.21)/1.62 = 1.91m/s^2
    m = 1.55*9.8 = 15.19
    T = 15.19(9.8 + 1.91) = 177.87 N
  2. jcsd
  3. Sep 14, 2008 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Not good. You're thinking of w = mg.

    Not good. m = 1.55 kg (it's given!).
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