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Is this right?

  1. Nov 16, 2009 #1
    1. The problem statement, all variables and given/known data
    If the balloon in the diagram drawn below is accelerating upwards at 0.40 m/s2, calculate the tension in each piece of rope. Assume that the rope has no mass.
    http://img261.imageshack.us/img261/964/capture2gm.png [Broken]
    http://img261.imageshack.us/img261/964/capture2gm.png [Broken]


    2. Relevant equations
    a=0.40m/s^2
    m=15kg
    g=9.8m/s^2
    F_t=?
    F_g=?


    3. The attempt at a solution
    Rope 1

    Step1
    If the balloon in the diagram drawn below is accelerating upwards at 0.40 m/s2, calculate the tension in each piece of rope. Assume that the rope has no mass.





















    Rope 1
    a=0.40m/s^2
    m=15kg
    g=9.80m/s^2
    F_t=?
    F_g=?
    Step1
    F_g=mg
    F_g=15*9.8
    F_g=147m/s^2
    Step2
    Fnet=m*a
    Fnet=F_g+F_t
    15*0.40=147+F_t
    6=147+F_t
    6-147=F_t
    -141.0N=F_t
    Rope 2
    a=0.40m/s^2
    m=9kg
    g=9.80m/s^2
    F_t=?
    F_g=?




    Step1
    F_g=mg
    F_g=9*9.8
    F_g=88.2m/s^2
    Step2
    Fnet=m*a
    Fnet=F_g+F_t
    9*0.40=188.2+F_t
    3.6=88.2+F_t
    3.6-88.2=F_t
    -84.6N=F_t

    Therefore the tension on rope 1 is -141.0N
    Therefore the tension on rope 2 is -84.6N
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Nov 16, 2009 #2
    is this right now?
     
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