Chapter 8.1, Problem 9OE

To determine

To write an equation that relates the two variables and includes the value of constant of variation.

Answer to Problem 9OE

The equation can be written as $M=1v$ where $1$ is the constant of variation.

Explanation of Solution

Given information:

The given direct variation is:

“The momentum $\left(M\right)$ of a moving $1kg$ mass is directly proportional to the speed $\left(v\right)$ of the mass in $m/s$ .”(Constant of proportionality $=1$ ).

The equation can be written as:

  $\begin{array}{l}M=1v\left[\text{Mass}=1kg\right]\\ \text{or},\frac{M}{v}=1\end{array}$

Where the constant of variation is $1$ .