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Force and work on a shopping cart

  1. Mar 24, 2009 #1
    1. The problem statement, all variables and given/known data
    A shopper in a supermarket pushes a cart with a force of 35.0 N directed at an angle of 28.0° downward from the horizontal. Find the work done by the shopper on the cart as he moves down an aisle 46.0 m long.

    What's going on?

    2. Relevant equations
    W = Force * displacement


    3. The attempt at a solution
    I used the formula above to get
    F=35(cos(28))46= 1610

    I don't know how else to approach the problem
     

    Attached Files:

    Last edited: Mar 24, 2009
  2. jcsd
  3. Mar 24, 2009 #2

    Delphi51

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    Homework Helper

    Re: Work

    I think your answer is correct. The vertical component of the force pushes the cart into the floor but there is no movement in that direction so it doesn't do any work. Only the 35*cos(28) component does work as you wrote.
     
  4. Mar 24, 2009 #3
    Re: Work

    According to my homework website, I'm wrong from 10%-100%. =(
     
  5. Mar 24, 2009 #4
    Re: Work

    Maybe they are wrong?

    It happens.
     
  6. Mar 25, 2009 #5

    alphysicist

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    Homework Helper

    Re: Work

    Hi aaronb,

    I believe you are making a calculator error here. When you did the calculation, you left out the trig function, because 35 x 46=1610.
     
  7. Mar 25, 2009 #6
    Re: Work

    You're right!
     
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