Force is derivative of momentum (vector)

Newton’s second law of motion can be generalized in terms of linear momentum. Precisely, the net force exerted on a body is equal to the time derivative of the body’s momentum.

Notes:

1. Works in relativistic mechanics as well as in classical mechanics.

2. See scalar counterpart of this law.

Links:

1. Wikipedia.

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

momentum

The magnitude of the momentum of the body as a function of time.

Symbol:

p

Latex:

\(p\)

Dimension:

momentum

force

The magnitude of the net force exerted on the body as a function of time.

Symbol:

F

Latex:

\(F\)

Dimension:

force

force_law

F(t) = Derivative(p(t), t)

Latex:

\[\mathbf{F}(t) = \frac{d}{d t} \mathbf{p}(t)\]