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Tension force in a tow truck

  1. Feb 1, 2015 #1
    1. The problem statement, all variables and given/known data
    A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and the tension in the chain is 1500 N. How much work is done by the truck in pulling the car 1 km?

    2. Relevant equations
    Work = Force * distance

    3. The attempt at a solution
    By drawing a free body diagram, I learn that the horizontal component of tension is 1500 * cos(30), which is apprx 1300 N. I then multiply by 1000 meters to get 1.3 million joules. Is this correct? Is joules always measured in meters or should I have multiplied by 1 instead? Thank You
     
  2. jcsd
  3. Feb 1, 2015 #2
    I put this question in math because it's from my Multivariate Calculus Late Transcendentalist book.
     
  4. Feb 1, 2015 #3

    SammyS

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    ... Is joules always measured in meters or should I have multiplied by 1 instead? Thank You[/QUOTE]

    ##1 \text{Joule} =1 \text{N}\cdot\text{m }, ## so Joules are not in units of meters.
     
  5. Feb 1, 2015 #4

    haruspex

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    • Looks right. 1 J = 1 N m
     
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