Chapter 10, Problem 66EAP

In Problems 66 through 68 you are given the equation used to solve a problem. For each of these, you are to

1. Write a realistic problem for which this is the correct equation.

Draw the before-and-after pictorial representation.

Finish the solution of the problem.

$\begin{array}{l}\frac{1}{2}\left(1500kg\right){\left(5.0m/s\right)}^2+\left(1500kg\right)\left(9.80m/s^2\right)\left(10m\right)\\ =\frac{1}{2}\left(1500kg\right){{\displaystyle v}}_i^2+\left(1500kg\right)\left(9.80m/s^2\right)\left(0m\right)\end{array}$

$\begin{array}{l}\frac{1}{2}\left(0.20\text{ kg}\right){\left(2.0\text{ m/s}\right)}^2+\frac{1}{2}k{\left(0\text{ m}\right)}^2\\ =\frac{1}{2}\left(0.20\text{ kg}\right){\left(0\text{ m/s}\right)}^2+\frac{1}{2}k{\left(-0.15\text{ m}\right)}^2\end{array}$

$\begin{array}{l}\frac{1}{2}\left(0.50\text{ kg}\right){{\displaystyle v}}_f^2+\left(0.50\text{ kg}\right)\left(9.80{\text{ m/s}}^2\right)\left(0\text{ m}\right)\\ +\frac{1}{2}\left(400\text{ N/m}\right){\left(0\text{ m}\right)}^2=\frac{1}{2}\left(0.50\text{ kg}\right){\left(0\text{ m/s}\right)}^2\\ +\left(0.50\text{ kg}\right)\left(9.80{\text{ m/s}}^2\right)\left(\left(-0.10\text{ m}\right)\sin 30°\right)\\ +\frac{1}{2}\left(400\text{ N/m}\right){\left(-0.10\text{ m}\right)}^2\end{array}$