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

Vector of the momentum of the body as a function of time.

Symbol:

p(t)

Latex:

\({\vec p} \left( t \right)\)

Dimension:

momentum

force

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

Symbol:

F(t)

Latex:

\({\vec F} \left( t \right)\)

Dimension:

force

law

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

Latex:

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