Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. what are the components of the unit of force, newtons? (hint: newton…

Question

  1. 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

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:

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