Question

1. what are the components of the unit of force, newtons? (hint: newtons 2nd law) $\frac{kgcdot m}{s}$ $ncdot kg$ $\frac{kgcdot m^{2}}{s}$ $\frac{kgcdot m}{s^{2}}$ clear all

Explanation:

Step1: Recall Newton's 2nd Law

$F = ma$, where $F$ is force, $m$ is mass and $a$ is acceleration.

Step2: Identify SI - units

The SI - unit of mass $m$ is kilogram ($kg$), and the SI - unit of acceleration $a=\frac{\Delta v}{\Delta t}$. The SI - unit of velocity $v$ is meters per second ($m/s$) and of time $t$ is seconds ($s$). So, the unit of acceleration is $\frac{m}{s^{2}}$.

Step3: Determine unit of force

Substitute the units of $m$ and $a$ into $F = ma$. The unit of force $F$ (Newton, $N$) is $kg\times\frac{m}{s^{2}}=\frac{kg\cdot m}{s^{2}}$.

Answer:

$\frac{kg\cdot m}{s^{2}}$