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Energy Required to Lift an Object to Various Heights

  1. Feb 21, 2017 #1
    1. The problem statement, all variables and given/known data
    Consider a ball of m = 0.50kg. Does it take the same amount of additional energy to vertically lift it from 15cm to 25cm as it does to lift it from 25cm to 35cm? If not, which takes more? Why?

    2. Relevant equations
    Potential energy: mgh
    Work = Kf - Ki

    3. The attempt at a solution
    I believe that the energy required in both scenarios should be equal, as the work done is the same in each case.

    Starting at 15cm and going to 25cm, the potential energies in each position respectively are
    0.5kg*9.8m/s2*0.15m = 0.735J
    0.5kg*9.8m/s2*0.25m = 1.225J
    A difference of 0.49J

    Starting at 25cm and going to 35cm...
    0.5kg*9.8m/s2*0.25m = 1.225J
    0.5kg*9.8m/s2*0.35m = 1.715J
    A difference of 0.49J

    The differences between the final and initial potential energies are equal, but are the differences the value of interest? Is the energy to lift the box equal to the difference in potential energy?
     
  2. jcsd
  3. Feb 21, 2017 #2
    Welcome to Physics Forums.
    I think you got it right.
     
  4. Feb 22, 2017 #3

    CWatters

    User Avatar
    Science Advisor
    Homework Helper

    I agree. You could argue that g isn't constant with height but the difference is negligible in this case.
     
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