Complete the questions below using additional paper if needed. This is a closed-note, closed-book exam. All equations and required information will be provided to you. To receive credit, all work must be shown. Partial credit is given generously for any form of attempt, but blank answers and answers with no work get no points. You may use a dedicated graphing or scientific calculator, but no phones or computers are allowed. 1. In Star Wars, the original Death Star space station (not moon) was estimated to be 150 km in diameter with a mass of 1.34x10" kg. Ignoring artificial gravity generators, what is the local acceleration due to gravity on the surface of the Death Star? 2. A car of mass 1500 kg travels through a roundabout of radius 20.0 m at 12 m/s. a. Find the centripetal acceleration of the car through the roundabout. b. Find the centripetal force acting on the car through the roundabout. Which direction does the centripetal force point? 3. A force of 5.00 N is applied to a spring with elastic constant k = 0.250 N/m. Find the change in length. 4. Describe what it means for momentum and energy to be conserved. 5. Relate momentum and impulse to crumple zones, airbags, water barrels, and other measures important in car safety. Why is it important to extend the time of a collision? 6. Describe the difference between elastic and inelastic collisions. How is the momentum distributed in each? 7. Describe kinetic and potential energy. Give two examples of each. Name: 8. Two identical pucks of mass 40 grams on an air hockey table collide (no friction). Puck A is traveling at 15 mis when it collides with Puck B, which is initially at rest. After the collision, both pucks travel in the same direction, with puck A moving at 6 m/s and puck B moving independently of A (no sticking). a. Find the initial momentum of both puck A and puck B before the collision. b. Calculate the final velocity of puck B after the collision. c. Calculate the final momentum of each puck after the collision. d. Calculate the total final momentum between the two pucks. How does it compare to the total momentum before the collision? 9. Rosita needs to purchase a sump pump for her basement that must carry 10.0 kg of water to a height of 3.0 m every minute a. How much work is done by the pump in moving 10.0 kg of water? b. How much power must the pump use to complete its task? 10. A 700 kg roller coaster car travels along the tracks shown below. At point A, the car is 60 m above the ground and traveling at 1 mis. The car is 35 m and 12 m above the ground at points B and C, respectively. Assuming all energy is conserved, find the velocity of the car at points B and C. Name: 11. A basketball of mass 0.5 kg at rest is dropped from a height of 2.0 m. a. Use the kinematic equations to find the speed of the ball when it hits the ground. b. Now calculate the speed of the ball when it hits the ground using your understanding of energy conservation. c. Find the momentum of the ball as it hits the ground. d. Assuming no energy is lost in the collision, how high should the ball bounce after hitting the ground? e. What factors keep the ball from achieving the height you found in part d? 12. The diameter of a car tire is 0.8 m. Initially, the car is traveling at 12 m/s. a. Find the angular speed of the tire. b. The car accelerates to a speed of 30 m/s over 5 seconds. Find the linear and angular acceleration of the tire over this period. c. Find the angular speed of the tire while the car is traveling at 30 m/s. How does the difference in linear speeds compare to the difference in angular speeds