Gravitational Potential Energy Physics Example 3

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Example 3

easy
At what height does a 2 kg2 \text{ kg} object have 392 J392 \text{ J} of gravitational PE? Use g=9.8 m/s2g = 9.8 \text{ m/s}^2.

Solution

  1. 1
    Rearrange PE=mghPE = mgh for hh.
  2. 2
    h=PEmg=3922×9.8=39219.6=20 mh = \frac{PE}{mg} = \frac{392}{2 \times 9.8} = \frac{392}{19.6} = 20 \text{ m}

Answer

h=20 mh = 20 \text{ m}
The gravitational PE formula can be rearranged to find height, mass, or g when the other quantities are known.

About Gravitational Potential Energy

Energy stored in an object due to its height above a reference point in a gravitational field: PE=mghPE = mgh.

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