9. what are the components of the unit of force, newtons? (hint: newtons 2nd law) clear all s (kg·m)/s n·kg…
9. what are the components of the unit of force, newtons? (hint: newtons 2nd law) clear all s (kg·m)/s n·kg s² (kg·m)/m s (kg·m²)/s
Answer
Explanation:
Step1: Recall Newton's 2nd Law
Newton's 2nd law is $F = ma$, 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 $a$ is meters per second squared ($m/s^{2}$).
Step3: Derive unit of force
Substitute the units into $F = ma$. The unit of force $F$ (Newton, $N$) is $kg\times m/s^{2}=\frac{kg\cdot m}{s^{2}}$.
Answer:
$\frac{kg\cdot m}{s^{2}}$