Lesson · P.3.3

Universal gravitation

Newton's law of universal gravitation, F = G × (m₁ × m₂) / r², how the pull grows with the masses involved and fades with the square of the distance between them, plus weight, W = m × g, the same pull acting on you at Earth's surface, the way the HESI A2 physics subtest tests this objective.

ObjectiveP.3.3Read4 minExam weightEnergy and Momentum ≈ 20% of Physics

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What you will be able to do

  • You can state Newton's law of universal gravitation and identify what each quantity in it controls.
  • You can predict how gravitational force changes when a distance or a mass changes, including the inverse-square drop-off.
  • You can calculate an object's weight from its mass using g = 9.8 m/s², and explain why that same g applies no matter how large or small the mass is.

What the lesson concludes

  • Every object with mass pulls on every other object with mass, not just Earth on you.
  • Gravitational force grows with the product of the two masses and falls with the square of the distance between their centres.
  • Double the distance and the force drops to one quarter; triple it and the force drops to one ninth.
  • Weight is universal gravitation applied at Earth's surface, W = m × g, with g about 9.8 m/s².
  • The falling object's own mass cancels out of g, which is why gravity accelerates every mass at Earth's surface by the same 9.8 m/s², and why nursing dosing works in kilograms of mass rather than a scale reading of weight.