definition 19.34 Work

open in the book · parts/03-classical-mechanics/02-newtonian-dynamics.tex:995 · p. 744

ground object -- no derivation owed

Rests on

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 definition 18.8 Inertial frame of reference ¶
      - depends_on definition 18.3 Particle ¶ ↺
- 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 definition 19.35 Power ¶
depends_on proposition 19.36 Work of a torque ¶
- depends_on corollary 19.37 Rotational power ¶
depends_on theorem 19.38 Work–energy theorem ¶

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`	→	Particle	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1002
`depends_on`	→	Newton's second law	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1002
`depends_on`	←	Power	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1043
`depends_on`	←	Work of a torque	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1073
`depends_on`	←	Work–energy theorem	declared	parts/03-classical-mechanics/02-newtonian-dynamics.tex:1132