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Calculate the work done by gravity on an object of mass 100 kg falling a distance of 10 m.

Physics

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Answer

9800 J\text{9800 J}

Step-by-step solution

3 steps
  1. Identify the given values.

    The mass of the object is m=100 kgm = 100 \, \text{kg}.
    The distance it falls is h=10 mh = 10 \, \text{m}.
    The acceleration due to gravity is approximately g=9.8 m/s2g = 9.8 \, \text{m/s}^2.

  2. Recall the formula for work done by gravity.

    The work done by gravity (WW) when an object falls through a height hh is given by the formula:

    W=mghW = mgh
  3. Substitute the values into the formula and calculate the work done.

    W=(100 kg)(9.8 m/s2)(10 m)W = (100 \, \text{kg})(9.8 \, \text{m/s}^2)(10 \, \text{m}) W=9800 JW = 9800 \, \text{J}

    The work done by gravity is 9800 J.

    The final answer is 9800 J\text{9800 J}.

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