Conservation of Momentum and Energy A bullet of mass m is fired horizontally into a stationary block of mass M sitting at rest on a frictionless surface. The middle picture below shows the bullet after it is embedded in the block but before the block and bullet collide elastically with the spring with spring constant k. The final picture shows the spring at maximum compression. Assume the system includes the bullet, the block and the spring. Also assume that Mom and that the spring is massless. INITIAL MIDDLE FINAL Ve=0 M Vm Le m Lo Lo Vor D D a. Draw bar graphs that represent conservation of momentum in the x-direction and conservation of energy between the initial and middle pictures. Momentum in the x-direction Energy Initial Momentum + Impulse = Middle Momentum Initial Energy + Work Middle Energy Pxo + Pxo Pxm + Pxm Ko + Ko + Uso + Einto + W = Km + Km + Usm + Bintm 4bullet block 4bullet block bullet block bullet block b. Draw bar graphs that represent conservation of momentum in the x-direction and conservation of energy between the middle and final pictures. Momentum in the x-direction Energy Middle Momentum + Impulse | = Final Momentum Middle Energy + Work = Final Energy Pxm + Pxm = Pxf + Pxf 4bullet block Km + Kin + Usm + Bintm + W = Kf+ Kf + Usf + Bintf bullet block bullet _ block bullet block c. Write the equation that corresponds to each graph. Utilize the symbols in the pictorial represetation above. Define any other symbols that you use in your equations. Suppose that values for M, m, k, v. and Lo are provided. Which quantities can be determined from the equations you wrote? Which cannot be determined