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A child pulls a wagon (find Tension)

  1. Oct 4, 2012 #1
    1. The problem statement, all variables and given/known data

    A child pulls an 11 kg wagon with a horizontal handle whose mass is 1.4kg , accelerating the wagon and handle at 2.4m/s^2 .

    Mass of the wagon: 11 kg
    Mass of the handle: 1.4kg
    wagon acceleration: 2.4m/s^2
    handle acceleration: 2.4m/s^2

    2. Relevant equations
    Newton's Second Law of Motion says sum of all force has the same value of the object's mass * object's acceleration


    3. The attempt at a solution
    tension.png

    T = 3N is the tension of the rope near the child
    T = 30N is the tension of the rope near the wagon

    I need feedback and hints.
     
    Last edited: Oct 4, 2012
  2. jcsd
  3. Oct 5, 2012 #2

    Andrew Mason

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    Homework Helper

    I assume by "rope" you mean handle?

    How would the force increase further away from the handle?

    The vertical forces balance since there is no acceleration in the vertical direction: N + mg = 0

    The net horizontal force on any part = ma where m is the mass of that part. That force is provided by the child to the handle. The handle mechanically applies a part of that force to the wagon. So the force on the handle and wagon is mhandle+wagona. The force on the wagon only (ie the force exerted by the handle on the wagon) is mwagona.

    AM
     
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