Chapter 14, Problem 11STP

To determine

The units of $k$ .

Answer to Problem 11STP

The unit of k is ${\text{kg/s}}^{\text{2}}$ .

Explanation of Solution

Formula used: $k=\frac{mg}{x}$

Where, $m$ denotes mass in kg, $g$ denotes acceleration of gravity in ${\text{m/s}}^{\text{2}}$ , $x$ stands for displacement in m and $k$ is the constant.

  $k=\frac{mg}{x}$

  $\begin{array}{l}\text{=}\frac{\left[\text{kg}\right]\text{×}\left[{\text{m/s}}^{\text{2}}\right]}{\left[\text{m}\right]}\\ \text{=}\left[{\text{kg/s}}^{\text{2}}\right]\end{array}$

Conclusion:Hence,the unit of k is ${\text{kg/s}}^{\text{2}}$ .