Question

Name the common and SI unit of weights. What is the relation between two units?

Answer 1

Weight

1. Weight is defined as the force experienced by a body of mass $m$due to the gravity of Earth $\left(g\right).$
2. Formula for weight is given by $W=mg.$

Common unit of weight

1. Common unit of mass is kilogram-force$\left(kgf\right)$.

SI unit of weight

1. SI unit of weight is newton $\left(N\right).$

Relation between $\mathit{k}\mathit{g}\mathit{f}$and $\mathit{n}\mathit{e}\mathit{w}\mathit{t}\mathit{o}\mathit{n}$

1. One kilogram-force $\left(kgf\right)$ is the value of force due to gravity on a body of mass $1kg.$
2. Mathematically$1kgf=mg$. …………………..$\left(i\right)$
3. Where, the $m=$mass of the body and $g=$gravity due to Earth.
4. We have mass $\left(m\right)=1kg$and $g=9.8m/s^2.$
5. Substituting the values of $m$ and $g$ in the equation $\left(i\right).$
6. $1kgf=1\times 9.8\frac{kg}{m/s^2}.$
7. Since $1\frac{kg}{m/s^2}=1N.$ Where $N$is newton.
8. $1kgf=9.81N\approx 10N.$

Thus, $\mathbf{1}\mathbf{}\mathit{k}\mathit{g}\mathit{f}\mathbf{\approx }\mathbf{10}\mathbf{}\mathit{N}\mathbf{.}$