17. A 300g cart is traveling to the right when it starts to go up a 15cm tall ramp onto a flat horizontal surface without losing any energy. At the top of the ramp the cart has a speed of 1.8 m/s. The cart then travels over a rough patch and slows down to a speed of 1.2m/s. a. Draw a sketch of the motion described above, labeling all important velocities. (2pts) b. What was the cart's initial speed? (3pts) c. How much energy is wasted as the cart travels over the rough patch? (3pts) 18. A 400g dynamics cart is traveling to the right at 3.2m/s when it collides and bounces off a 600g dynamics cart initially traveling to the left at 1.8m/s. After the collision the 400g cart is traveling to the left at 1.52m/s. Treat this as a 10 problem. a. Draw a sketch show the moments before and after the collision, labeling al important velocities. (2pts) b. What is the velocity of the 600g cart after the collision? (3pts) c. Is the collision elastic or inelastic? Justify your answer. (3pts) 19. A diver is about to perform a dive in the Olympics. When they jump off the platform, they have an initial angular momentum of 20 kg*m2/s and a moment of inertia of 9.1 kg*m. You need only concern yourself with the rotational motion of the diver. a. What is the initial angular speed of the diver? (3pts) b. Suppose the diver was able to increase their angular speed to 5 rad/s while falling, now what is the diver's angular momentum and moment of inertia? (3pts) c. Find the initial and final rotational kinetic energy of the diver. If the energy is constant explain why. If the energy changes, then where did the energy go/come from? (4pts)