Part of JME-05 — Gravitation

Newton's Law of Universal Gravitation

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F = GMmr\frac{GMm}{r}^2

  • G = 6.674 x 10^{-11} N*m2m^2/kg2kg^2 (universal gravitational constant)
  • Dimensions of G: [M^{-1}$$L^{3T}^{-2}]
  • The force is always attractive, acts along the line joining the centres
  • Valid for point masses or spherically symmetric bodies (treat as point masses at their centres)
  • This is an inverse-square law: doubling the distance reduces force by a factor of 4

Superposition principle: The gravitational force on a body due to multiple masses is the vector sum of individual forces. FnetF_{net} = F1F_1 + F2F_2 + F3F_3 + ...

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