Force is derivative of momentum¶

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:

Works in relativistic mechanics as well as in classical mechanics.

Links:

Wikipedia.

time¶

Symbol:: t
Latex:: \(t\)
Dimension:: time

momentum¶

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

Symbol:: p(t)
Latex:: \(p{\left(t \right)}\)
Dimension:: momentum

force¶

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

Symbol:: F(t)
Latex:: \(F{\left(t \right)}\)
Dimension:: force

law¶

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

Latex:: \[\frac{d}{d t} p{\left(t \right)} = F{\left(t \right)}\]