1. You are in a plane that flies horizontally with speed 900 km/h ( 250 m/s) when an engine falls off. Neglecting air drag, assume it takes 25 seconds for the engine to hit the ground. (a) How high was the plane flying? (b) What is the horizontal distance that the engine covers before hitting the ground? (c) If the plane somehow continuous to fly as if nothing had happened, where is the engine relative to the airplane at the moment the engine hits the ground? 2. At a particular point in orbit a satellite in an elliptical orbit has a gravitational PE of 6000 MJ with respect to Earth's surface and a KE of 5000 MJ. Later in its orbit, the satellite's PE is 7000 MJ. What is its KE at that point? Explain. 3. (a) At which of the indicated positions does the satellite in elliptical orbit experience the greatest gravitational force? (b) Have the greatest speed? (c) The greatest velocity? (d) The greatest momentum? (e) The greatest KE? (f) The greatest gravitational PE? (g) The greatest total mechanical energy? B 4. The dash lines show three circular orbits about Earth. Rank the following quantities from greatest to least: A B (a) Their orbital speed. (b) The time to orbit Earth. 5. In the absence of air resistance, why does NOT the horizontal component of the velocity of a projectile change, while the vertical component does? Explain. 6. A golfball rolls off a 0.8 m high desk and strikes the floor 0.4 m away from the base of the desk. How fast was the ball rolling? 7. A criminal in a speed boat is being chased down a river by the police in a faster boat. Just as the police boat pulls up next to the criminal's boat, both boats reach the edge of a 7 m waterfall. If the criminal's boat speed is 10 m/s and the police's speed is 18 m/s, how far apart will the two vessels be when they land below the waterfall? 8. A Satellite in an elliptical orbit is moving from position A, where its Kinetic energy is 15 MJ and its total mechanical energy is 27 MJ, to a new position B, where its kinetic energy is 12 Mj. a. What is the work done (if any) by the net force acting on the satellite, when it moves from A to B? b. Is the satellite getting closer or going away from the planet it is orbiting around? c. What is the total mechanical energy of the satellite at point B