theorem 19.67 Conservation of linear momentum
open in the book ·
parts/03-classical-mechanics/02-newtonian-dynamics.tex:2028
· p. 758
Rests on
- depends_on equation 19.45 eq:newt-momentum-completeness ¶
-
depends_on
theorem 19.52
The centre of mass moves as a particle
¶
- depends_on equation 19.44 eq:newt-cm-momentum ¶
- depends_on equation 19.45 eq:newt-momentum-completeness ¶ ↺
-
depends_on
postulate 19.48
Newton's third law
¶
- depends_on definition 19.2 Interaction ¶
-
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 18.8 Inertial frame of reference ¶ ↺
- depends_on definition 19.5 Linear momentum ¶ ↺
- proves proof ch:02-newtonian-dynamics@proof-16 ¶
- proves proof ch:02-newtonian-dynamics@proof-24 ¶
Supports
- 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 |
→ | eq:newt-momentum-completeness | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:2037 |
depends_on |
→ | The centre of mass moves as a particle | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:2037 |
depends_on |
← | Uniform motion of the centre of mass | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:2084 |
proves |
← | ch:02-newtonian-dynamics@proof-24 | declared | parts/03-classical-mechanics/02-newtonian-dynamics.tex:2040 |