Learning Goal:

To learn about the Work$-$Energy Theorem and its basic applications.

In this problem, you will learn about the relationship between the work done on an object and the kinetic energy of that object.

The kinetic energy $K$ of an object of mass $m$ moving at a speed $v$ is defined as $K=(\frac{1}{2})m{v}^2.$ It seems reasonable to say that the speed of an object$-$and, therefore, its kinetic energy$--$can be changed by performing work on the object. In this problem, we will explore the mathematical relationship between the work done on an object and the change in the kinetic energy of that object.