The diagram at right shows a small block of mass m which is initially at rest at the top of a frictionless incline. The incline makes an angle 3 with respect to the horizontal. After sliding a diagonal distance do down to the bottom of the incline, the block slides a distance L across a patch of the level section that has friction with coefficient of kinetic friction mg. after sliding past the patch with friction, the block collides with a spring with spring constant k. The middle state is when the spring has compressed a maximum distance 5. The spring then pushes the block back to the left. The block again crosses the patch with friction before sliding a diagonal distance [if back up the incline. The final state is when the block has again come to rest. Assume the system includes everything. HH- Friction G K Patch it "TH- E\" Draw a pair of energy bar graphs to illustrate conservation of energy between the initial and middle instants and between the middle and final instants. /_ I hilt-[SJ 1511-"ng ~ \"til-1k =- 1m:- BEIGE? K..+U+_-:...-E... W = K+U+_~.E. ' I'.1|deeEo-=_'a}' ' \"Wk =- Ic+c+:__s. 1.l' = # FinolEueraL' K + U_+ 1'. E. Write the equation that corresponds to each bar graph. Your equations must be expressed in terms of the variables described in the problem statement above as well as g, the freefall acceleration. Note: If one of the variables in an equation appears in every term of the equation. then it can be cancelled. However, do not cancel this variable when entering the equation below. Doing so will cause your equation to be graded as incorrect. |mnmtoMmmewW Middle to Final: || Given the following values: m=U.43 kg k=11.38 Wm k=l H=2+9= do =11? m L=C|.43m g = 9.81 E SE determine the distance, 5, that the spring is compressed in the middle state, and the diagonal distance, d}. that the block slides back up the incline