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Lesson 12 · Weight is not mass
Gravity's markup
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Gravity's markup

Your mass is how much of you there is; your weight is how hard gravity pulls on it. W=mgW = mg — W equals m g — puts numbers on that: WW is the weight in newtons, mm is the mass in kilograms, and gg is gravity's acceleration, 9.8 m/s29.8\ \mathrm{m/s^2} on this paper. Every kilogram gets charged 9.8 newtons, no exceptions, like a tax. On the Moon the same kilograms would be charged less; the stuff itself never changes.

The exam wound this lesson exists to prevent: quoting the mass number as the weight. A 10 kg crate does not weigh “10” — it weighs 98 N. The bathroom scale is a cheerful liar here: it FEELS force and prints kilograms, quietly dividing by 9.8 on your behalf. In this room, nobody divides on your behalf.

mW

W=mgW = m g

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

F=maF = m a

  • FF= Force (force)
  • mm= Mass (mass)
  • aa= Acceleration (acceleration)
Newton's Second Law solver →