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:

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

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(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:

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