The following image shows a $2\mathrm{.}0$ kg box being pulled by a rope along a horizontal, smooth surface for $4$ meters. A constant force of $6$ N is applied from $1$ to $2$ meters. The force decreases at a constant rate from $2$ meters to $4$ meters. At $4$ meters, the applied force is zero. a$.$ Sketch a graph that represents the pulling force as the box is dragged horizontally across the surface. Label the x$-$ and y$-$axis. Write your name and today's date in the upper right corner. Scan or take a picture of your graph and attach it to this item.

b$.$ Use the graph created in $($a$)$ to calculate the work done on the box.

c$.$ Describe changes in the kinetic energy of the box from $1$ to $2$ meters. Justify your answer.

Transcribed Image Text:

1m 2m 4m 1m 2m 4m