Purpose: To study conservation of momentum in collisions. Concepts: A ball has mass M, and is moving with velocity vjj. As the ball is moving, It collides with a second ball M . We will consider the two possible types of head-on collisions, elastic and inelastic. Write the expression for the conservation of momentum for each of these two types of collisions in terms of V,, V2, M, and M,. Ignore friction and air resistance. Elastic collisions: Inelastic collisions: Procedure: For each of the parts, be sure to click on the "momentum" and "values" boxes (and "velocity" if you want). Click on the "More Data" button to set the values of M, v and x (the balls' initial positions), and to see their momenta p. TAB 1 "Introduction": Perform the following elastic collisions. Set 100% Elasticity, For each collision, draw the BEFORE and AFTER diagrams. Label each ball as 1 or 2. Draw and label the momentum vectors with the lengths relative to their magnitudes. Record the Ep before and after each collision. (Ignore all the &is) A. Set M, = 3 kg and M, = 3 kg, X1 = -1.5 m and x; = 0.0 m, and Vji = 1 m/s and va = 0 m/s. BEFORE: EP = AFTER: Ep = B. Set M, = 3 kg and M, = 3 kg, X, = -1.5 m and x, = 1.5 m, and v,, = 1 m/s and v,, = -1 m/s. BEFORE: EP = AFTER: Ep = C. Set M, = 3 kg and M, = 3 kg, X,, = -1.5 m and x;) = 1.5 m, and v,, = 3 m/s and v, = -1 m/s. BEFORE: EP = AFTER: Ep = D. Set M, = 0.5 kg and M, = 3 kg, x,, = -1.5 m and X2 = 0 m, and v,, = 1 m/s and vz = 0 m/s. BEFORE: EP = AFTER: Ep = E. Set M, = 3 kg and M, = 0.5 kg, X:1 = -1.5 m and x2 = 0m, and v,, = 1 m/s and V21 = 0 m/s. BEFORE: EP = AFTER: EP = Analysis: Do you observe a transfer of momentum? To prove results agree with COM, select any one of the collisions above and show the calculations for Ep (after) = Ep (before)