Chapter 1.7, Problem 46WE

To determine

To calculate:

Value of remaining variable $\left(g\right)$ .

Answer to Problem 46WE

Value of remaining variable $\left(g\right)$ is $9.8$ .

Explanation of Solution

Given information:

  $\begin{array}{l}d=\frac{v^2}{2g}\\ d=1000\\ v-140\end{array}$

Calculations:

Distance an object falls,

  $\begin{array}{l}d=\frac{v^2}{2g}\\ 1000=\frac{{140}^2}{2g}\end{array}$

Now substitute the $1000$ for $d$ , and $140$ for $v$

Multiply each side by $2g$

  $\begin{array}{l}2000g=19600\\ \frac{2000g}{2000}=\frac{19600}{2000}\end{array}$

Divide each side by $2000$ ,

  $g=9.8$

Thus, $g=9.8$