Problem 1 Two marbles slide on a smooth, horizontal surface and collide. Marble 1 has a mass of 15.0 g and moves with an initial velocity of 8.0 m/s at 5 C C W with +x horizontal to the right. Marble 2 has a mass of 20.0 g and moves with an initial velocity of 1.6 m/S at 40 C C W. After the collision, the direction of the velocity vector of marble 1 is 60 C C W, and the direction of the velocity vector of marble 2 is 350 C C W. Note that all velocity vectors are given using the polar vector representation (all angles are given in standard position). a) Draw a proper collision diagram. The diagram should be complete enough that you could hand it to someone else and ask them to solve part b). b) Calculate the nal speed for each marble. c) Compute the ratio of total nal to total initial kinetic energy and determine the type of collision