You are a traffic accident investigator. You have arrived at the scene of an accident. Two cars of equal mass (1,000 kg each) were involved in a rearend accident at a stop sign. Here is what you know: * Car 1 approached the intersection from the top of a 25-meter hill. * Car 2 was on a flat stretch of road directly in front of Car 1. * At the bottom of the hill, Car 1 was going 20 m/s; Car 2 was going 30m / s before it stopped at the stop sign. * There were no skid marks left by Car 2. The collision occurred at the stop sign, where Car 2 had stopped. * After the collision, both cars were moving together in the same direction at 10 m / s before slowly rolling to a stop. * You must now push Car 2, using 800 N of force, 10 meters off to the side of the road so no one else gets hurt. * 1. What was the potential energy of Car 1 at the top of the hill? (3 points) 2. What was the kinetic energy of each car before braking ? (4 points ) 3. A. How much energy did Car 1 lose from the top to the bottom of the hill? (3 points ) B. Where do you suppose that energy went? (2 points) 4. How much work was done to bring Car 2 to a stop ? (4 points) 5. If Car 2 came to a stop in 15 seconds , how much power (in watts ) did it take to stop Car 2 at the stop sign by applying force to the brakes ? (3 points ) 6. What is the final combined momentum of the cars right after the accident? (6 points) 7. Assuming that there are no other nonconservative forces involved , what impulse was given to each car during the collision ? (6 points ) A. Car 1 (3 points) B. Car 2 (3 points) 8. How much energy did Car 1 lose in the collision? (3 points) 9. How much energy did Car 2 gain in the collision? (3 points) 10. Which of the two laws covered in this unit - Law of Conservation of Momentum or Law of Conservation of Energy - is obeyed in this problem? Explain your reasoning . (5 points ) 11. How much work did it take to move Car 2 off to the side of the road? (3 points) 12. If it took you 40 seconds to move Car 2 off the road, how much power did you expend? (3 points) 13. Which simple machine does a car have that helped you move Car 2? Explain . (2 points )