You are designing the suspension for a new high-performance sports car. you need to understand the behavior of the springs that you will be using in the car. in particular, you want to understand how the suspension will dissipate the energy of the car bouncing up and down. before you can understand that dissipation, however, you need to understand the more fundamental idea of the energy stored in the springs that you will be using. you decide to model the situation by suspending a mass from a spring in your laboratory. you have springs, a table clamp, a rod, a meter stick, a mass set, and the video analysis equipment. finally, write down the theoretical form for the spring potential energy. how could we plot the spring potential energy (as determined from the answer to problem 5) as a function of position to easily show that this theoretical form holds? will a plot of spring potential energy versus position be linear? how could we adjust position or spring potential energy to make this plot linear? what would be the slope of this plot? (the section "using linear relationships to make graphs clear" in the appendix "a review of graphs" will you answer this question.)