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Work, energy and powerPhysicsHigh schoolabout 0:53

How much gravitational potential energy does a 1000 kg mass gain when lifted 12 m (g = 9.81 m/s²)?: animated lesson

A narrated, step-by-step work, energy and power video lesson with captions. Final answer: potential energy PE = 117720 J.

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.4 MB) · Captions (WebVTT)

Steps on screen

  1. 1. The problem
    Worked example
    How much gravitational potential energy does a 1000 kg mass gain when lifted 12 m (g = 9.81 m/s²)?
  2. 2. Step by step
    1. PE=mghPE = mgh
      Formula: gravitational potential energy
    2. PE=(1000 kg)⋅(9.81 m/s²)⋅(12 m)=117720 JPE = (1000\ \text{kg})\cdot (9.81\ \text{m/s²})\cdot (12\ \text{m}) = 117720\ \text{J}
      Substitute the known values
  3. 3. The answer
    potential energy PE = 117720 J\text{potential energy PE = 117720 J}

    potential energy PE = 117720 J

  4. 4. Check
    • Substituted every value back into the formula: both sides agree ✓

Transcript

The problem. Here is the problem: How much gravitational potential energy does a 1000 kg mass gain when lifted 12 m (g equals 9.81 m/s squared)? Use the gravitational potential energy formula, rearranged for the unknown, in SI units.

Step by step. Formula: gravitational potential energy. Substitute the known values.

The answer. So the answer is potential energy PE equals 117720 J. Gravitational potential energy is measured from a chosen zero level, so only changes in PE have physical meaning. Near Earth prime s surface deltaPE equals mgdeltah; a height below the zero level gives a negative PE.

Check. Substituted every value back into the formula: both sides agree, which checks out.

About work, energy and power

Work done by a force, kinetic and potential energy, and power.

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