Question

Which expression correctly describes force using Sl units?O A. 1 J= 1 kg-m/s²OB. 1 N=1 kgm/sOC. 1 J= 1 kg-m/sD. 1 N = 1 kg-m/s²

Answer 1

D. 1 N = 1 kg-m/s²

Step-by-step explanation

Force can be defined as the push or pull on an object with mass that causes it to change its velocity, for example the force of gravity , this force pushes us to the cneter of the earth,

so

`Force=\text{ mass *acceleration}`

SI( international system of units) is the metric system that is used universally as a standard for measurements, the units for mass and acceleration are

`\begin{gathered} mass\Rightarrow kilograms\Rightarrow kg \\ aceleration\Rightarrow meters\text{ per square second}\Rightarrow(m)/(s^2) \end{gathered}`

therefore, the units of force would be

`\begin{gathered} Force=\text{ mass *acceleration} \\ Force=kg*(m)/(s^2) \\ \end{gathered}`

by definition

`\begin{gathered} 1\text{ kg}(m)/(s^2)=1\text{ Newton\lparen N\rparen} \\ so \\ 1N=1\text{ kg}(m)/(s^2) \end{gathered}`

therefore, the answer is

D. 1 N = 1 kg-m/s²

I hope this helps you