First Law (Inertia)
A body continues in its state of rest or uniform motion unless acted upon by an external net force. Defines inertial reference frames.
Second Law (F = ma)
F_net = dp/dt = ma (for constant mass)
- F in Newtons (N) = kg*m/s^2
- Dimension: [MLT^{-2}]
- Vector equation: F_x = ma_x, F_y = ma_y (resolve along axes)
Third Law (Action-Reaction)
F_{A on B} = -F_{B on A}
- Same magnitude, opposite direction
- Same type of force (both gravitational, both contact, etc.)
- Act on DIFFERENT bodies (never cancel in FBD)
- Valid even when bodies are accelerating
Key Distinctions
| Property | 2nd Law | 3rd Law |
|---|---|---|
| Bodies involved | One body | Two bodies |
| Forces | All forces on one body | One pair between two bodies |
| Can cancel? | Yes (equilibrium) | Never (different bodies) |