Question

what is the rate of change in momentum directly proportional to?

Answer 1

Momentum:

1. According to newton's second law of motion rate of change of linear momentum is directly proportional to the force applied.
2. Momentum is the product of a particle's mass m and velocity v.
3. Momentum is a vector quantity, which means it has a magnitude as well as a direction.
4. It is mathematically expressed as:

$$\begin{gathered} \frac{dp}{dt}=\frac{d\left(mv\right)}{dt} \\ =m\frac{dv}{dt} \\ =ma \\ =F \end{gathered}$$

Hence, rate of change in momentum is directly proportional to Force.