postulate 19.48 Newton's third law

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:1424 · p. 750

ground object -- no derivation owed

Rests on

depends_on definition 19.2 Interaction ¶
- depends_on definition 18.3 Particle ¶
- depends_on postulate 19.1 Inertia ¶
  - depends_on definition 18.8 Inertial frame of reference ¶
    - depends_on definition 18.7 Frame of reference ¶
      - depends_on definition 18.3 Particle ¶ ↺
    - depends_on definition 18.6 Free particle ¶
      - depends_on definition 18.3 Particle ¶ ↺
  - depends_on definition 18.3 Particle ¶ ↺
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 7.26 Derivative of a function at a point ¶
      - depends_on definition 7.16 Limit ¶
      - depends_on definition 7.9 Real function ¶
    - depends_on definition 18.9 Position ¶
      - depends_on definition 18.7 Frame of reference ¶ ↺
      - depends_on definition 18.3 Particle ¶ ↺
    - depends_on definition 13.9 Tangent vector to a curve ¶
      - depends_on definition 13.8 Curve ¶
  - depends_on definition 19.3 Mass ¶
    - depends_on definition 18.3 Particle ¶ ↺
    - depends_on postulate 19.1 Inertia ¶ ↺
- 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 ¶ ↺

Supports

depends_on phenomenon 19.50 Recoil and the conservation of momentum ¶
depends_on postulate 19.49 Net internal force ¶
- depends_on phenomenon 19.54 The centre of mass ignores internal forces ¶
depends_on postulate 19.61 Newton's third law, strong form ¶
- depends_on theorem 19.63 The spin obeys the same law about the centre of mass ¶
  - depends_on phenomenon 19.65 Spin is conserved when no external torque acts ¶
  - depends_on theorem 19.68 Conservation of angular momentum ¶
- depends_on theorem 19.62 Rotational second law for a system ¶
  - depends_on theorem 19.68 Conservation of angular momentum ¶ ↺
depends_on theorem 27.30 Reduction of the two-body problem ¶
- depends_on phenomenon 27.32 Kepler's first law: bound orbits are closed ellipses ¶
- depends_on phenomenon 27.35 Kepler's third law ¶
  - depends_on phenomenon 50.5 Black-hole masses from gravitational waves ¶
  - depends_on phenomenon 50.1 Dark companions too massive to be neutron stars ¶
  - depends_on phenomenon 50.2 Four million solar masses inside the orbit of a single star ¶
- depends_on phenomenon 50.1 Dark companions too massive to be neutron stars ¶ ↺
- depends_on phenomenon 50.2 Four million solar masses inside the orbit of a single star ¶ ↺
depends_on theorem 19.52 The centre of mass moves as a particle ¶
- depends_on theorem 19.67 Conservation of linear momentum ¶
  - depends_on theorem 19.69 Uniform motion of the centre of mass ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Interaction	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1430
`depends_on`	→	Newton's second law	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1430
`depends_on`	←	Recoil and the conservation of momentum	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1480
`depends_on`	←	Net internal force	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1461
`depends_on`	←	Newton's third law, strong form	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1832
`depends_on`	←	Reduction of the two-body problem	declared	parts/03-classical-mechanics/10-central-forces-statics.tex:982
`depends_on`	←	The centre of mass moves as a particle	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1594