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Lesson 20 · Height is stored energy
Height is a battery
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Height is a battery

Lift a mass and the work you do is not gone — it is stored, waiting in the height. U=mghU = mgh (read aloud: U equals m g h) prices the stored energy: UU is that gravitational potential energy in joules, mm the mass in kilograms, hh the height it was raised through in metres, and g=9.8 m/s2g = 9.8\ \mathrm{m/s^2} — the planet's contribution, the same 9.8 that priced weight last chapter.

Keep last chapter's warning in force: mgmg alone is the WEIGHT, a force in newtons. Stop there and you have not reached an energy — the height still has to be paid. And kilograms are not newtons: a scenario that hands you a mass has quietly left the × 9.8\times\,9.8 to you.

mhU

U=mghU = m g h

  • UU= Potential energy (energy)
  • mm= Mass (mass)
  • hh= Height (length)
Gravitational Potential Energy (U = mgh) solver →
mW

W=mgW = m g

  • WW= Weight (force)
  • mm= Mass (mass)
Weight (W = mg) solver →