phenomenon 19.33 Mechanical energy is conserved

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:943 · p. 744

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on equation 19.19 eq:newt-conservative ¶
depends_on theorem 19.32 Conservation of energy ¶
- 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 postulate 19.6 Newton's first law ¶
  - depends_on definition 19.29 Kinetic energy ¶
    - depends_on definition 18.10 Velocity ¶
      - depends_on definition 7.26 Derivative of a function at a point ¶
      - depends_on definition 18.9 Position ¶
      - depends_on definition 13.9 Tangent vector to a curve ¶
    - depends_on definition 19.3 Mass ¶
      - depends_on definition 18.3 Particle ¶
      - depends_on postulate 19.1 Inertia ¶
- depends_on equation 19.19 eq:newt-conservative ¶ ↺
- depends_on equation 19.4 eq:newt-fma ¶
- proves proof ch:02-newtonian-dynamics@proof-9 ¶
proves proof ch:02-newtonian-dynamics@proof-10 ¶

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type	direction	node	provenance	where
`cites`	→	Discorsi e dimostrazioni matematiche intorno a due nuove scienze	derived	parts/03-classical-mechanics/02-newtonian-dynamics.tex:951
`depends_on`	→	eq:newt-conservative	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:956
`depends_on`	→	Conservation of energy	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:956
`proves`	←	ch:02-newtonian-dynamics@proof-10	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:959