Question

What does Newton's second law of motion state?

Answer 1

Explanation,

1. Newton’s second law states that Force $F$ is directly proportional to the rate of change of momentum $p$.
2. According to the second law of motion, $\begin{array}{rl}& F\propto {\displaystyle \frac{\mathrm{\Delta }p}{\mathrm{\Delta }t}}\\ & F=k{\displaystyle \frac{\mathrm{\Delta }p}{\mathrm{\Delta }t}}\end{array}$Where $k$ is the proportionality constant and $\frac{\mathrm{\Delta }p}{\mathrm{\Delta }t}\begin{array}{}\end{array}$is the rate of change of momentum.
3. Consider the object has a fixed mass$m$, then${\displaystyle \frac{dp}{dt}}={\displaystyle \frac{d\left(mv\right)}{dt}}=m{\displaystyle \frac{dv}{dt}}=ma$
4. We can write the second law as$F=kma$., $a$ is the acceleration of the object.
5. Putting $k=1$ we can write, $F=ma$
6. We can see this equation for force from the second law of motion.
7. The SI unit for force is Newton.