Linear Momentum a. Two carts labeled "1" and "2" have different masses where m1 = 2m2. They travel with the same speed vi, but in opposite directions toward each other. They collide head-on in a perfectly inelastic collision. Show equations (based upon theory) to determine the speed of the carts after the collision in terms of their original speed vi . b. Calculate the fraction of the carts’ total final kinetic energy (Ef ) to that of their total initial kinetic energy (Ef /Ei). Use the initial conditions in part a. above to begin.