You are working on a design for a runaway truck ramp as indicated in the figure below. The hill is covered in gravel so that the truck's wheels will slide up the hill instead of rolling up the hill. The coefficient of kinetic friction between the tires and the gravel is µz. This design has a spring at the top of the ramp that will help to stop the trucks. This spring is located at height h. The spring will compress until the truck stops, and then a latch will keep the spring from decompressing (stretching back out). The spring can compress a maximum distance xmax because of the latching mechanism. Your job is to determine how strong the spring must be. In other words, you need to find the spring constant so that a truck of mass m, moving at an initial speed of |vol, will be stopped. a. Draw energy bar diagrams for whatever system you are using both at the initial time and the final time (when the spring is completely compressed).

You are working on a design for a runaway truck ramp as indicated in the figure below. The hill is covered in gravel so that the truck's wheels will slide up the hill instead of rolling up the hill. The coefficient of kinetic friction between the tires and the gravel is µz. This design has a spring at the top of the ramp that will help to stop the trucks. This spring is located at height h. The spring will compress until the truck stops, and then a latch will keep the spring from decompressing (stretching back out). The spring can compress a maximum distance xmax because of the latching mechanism. Your job is to determine how strong the spring must be. In other words, you need to find the spring constant so that a truck of mass m, moving at an initial speed of |vol, will be stopped. a. Draw energy bar diagrams for whatever system you are using both at the initial time and the final time (when the spring is completely compressed).