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23 October, 01:17

A 5kg mass at rest on the ground is rised up to 15m. Find the work that was done on the object.

A. E before=___ Work=___ E after=___

B. Conservation of Energy equation:

C. Solve.

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Answers (2)
  1. 23 October, 02:33
    0
    A. Before work is the answer
  2. 23 October, 03:01
    0
    E before = 0 J Work = 735.75 J E after = 735.75 J

    Explanation:

    The work that was done on the object is calculated as follows:

    W = m*g*h

    where m refers to the mass of the object, g to gravitational acceleration (9.81 m / (s^2)) and h to the hight that the object was raised up. Replacing with data into the equation (units are ommited):

    W = 5*9.81*15

    W = 735.75 J

    Taking the ground as heigth = 0 m, then both potential and kinetic energy of the object before the lift was zero (notice that it was resting). Conservation energy equation states that the change of energy of an object is equal to the work applied on the object (like this case) or done by the object. That is:

    ΔE = W

    where ΔE = Energy after - Energy before

    Therefore:

    Energy after = W = 735.75 J

    The potential energy after the lift is also calculated as m*g*h, so the energy after the lift is all potential energy gained by the object due to the work applied on it.
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