proposition 27.20 Conservation of energy

open in the book · parts/03-classical-mechanics/10-central-forces-statics.tex:585 · p. 931

Rests on

depends_on definition 19.31 Energy ¶
- depends_on definition 19.30 Conservative force and potential energy ¶
  - depends_on equation 19.2 eq:newt-second-law ¶
  - depends_on postulate 19.8 Newton's second law ¶
    - depends_on definition 19.5 Linear momentum ¶
      - depends_on definition 18.10 Velocity ¶
      - depends_on definition 19.3 Mass ¶
    - depends_on postulate 19.6 Newton's first law ¶
      - depends_on definition 18.8 Inertial frame of reference ¶
      - depends_on definition 19.5 Linear momentum ¶ ↺
- depends_on definition 19.29 Kinetic energy ¶
  - depends_on definition 18.10 Velocity ¶ ↺
  - depends_on definition 19.3 Mass ¶ ↺
depends_on equation 27.13 eq:cfs-central-force ¶
depends_on equation 19.19 eq:newt-conservative ¶
proves proof ch:10-central-forces-statics@proof-11 ¶

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Edges

type	direction	node	provenance	where
`depends_on`	→	Energy	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:600
`depends_on`	→	eq:cfs-central-force	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:600
`depends_on`	→	eq:newt-conservative	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:600
`proves`	←	ch:10-central-forces-statics@proof-11	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:604