183_notes:force_and_pe

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183_notes:force_and_pe [2021/04/01 12:50] – [Equilibrium Points] stumptyl183_notes:force_and_pe [2023/11/30 20:35] (current) – [Force is the Negative Gradient of Potential Energy] hallstein
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 To find the force in three-dimensions, this derivative of the potential becomes the [[http://en.wikipedia.org/wiki/Gradient|gradient]] of the potential, To find the force in three-dimensions, this derivative of the potential becomes the [[http://en.wikipedia.org/wiki/Gradient|gradient]] of the potential,
  
-→F=−∇U=⟨dUdx,−dUdy,−dUdz⟩
+$$\vec{F} = - \nabla U = \left\langle -\dfrac{dU}{dx},  -\dfrac{dU}{dy},  -\dfrac{dU}{dz}\right\rangle$$
 →F=−dUdxˆx−dUdyˆy−dUdzˆz
 →F=−dUdxˆx−dUdyˆy−dUdzˆz
  
  • 183_notes/force_and_pe.1617281438.txt.gz
  • Last modified: 2021/04/01 12:50
  • by stumptyl