Questions 1-3 all refer to the following situation: You drop your cup of coffee from a height of 1.2 m. If the cup has a mass of 0.5 kg, how much gravitational potential energy does it have at the moment it leaves your hand? (Note: the gravitational potential energy is really associated with the system of the Earth + cup, but we often ignore the Earth because it's very massive and never "uses\" this energy to turn it into kinetic, so wejust say that the cup has this gravitational potential energy.) A. 4.90] B. 5.88 J C. 9.80] D. 11.8] If we ignore air resistance, how much kinetic energy will the cup have right before it hits the floor? Express your answer in Joules and input the number only. Hint: Video 1 should help! What is the speed of the cup right before it hits the floor? Express your answer in m/s and input the number only. Hint: Video 1 should help! Questions 4 and 5 refer to the following situation: You have a spring of spring constant 100 N/m that you compress by a distance of 0.5. What is the magnitude of the force you are applying? Hint: Video 3 should help! A. 12.5 N B. 25 N C. 50 N D. 75 N E. 100 N How much spring potential energy is stored in the spring when it is compressed by 0.5 m? Hint: Video 3 should help! A. 12.5 J B. 25 J C. 50J D. 75 J E. 100J Questions 6 and 7 are about the following situation: A 2.0 kg box is on a frictionless, horizontal table. It is tied to a spring of spring constant k = 200 N/m and the spring is initially stretched by 50 cm (i.e., x = 50 cm in the figure below). The box is then released (from rest) and observed to be moving at some speed 12,: when it goes through the equilibrium position where the spring is not stretched or compressed (see figure below). Our goal is to figure out vf. 6. What forms of energy are present in the initial and the final situation? i A. Initial: spring potential energy; Final: kinetic + spring potential energy I l 6 '1} 6 6 l l l 6 6 6 l l 0: 6 6 l_l I B. Initial: spring potential energy; Final: kinetic energy ,_ _ x C. Initial: kinetic + spring potential energy; Final: kinetic energy D. Initial: kinetic + spring potential energy; Final: kinetic + spring potential en l\"""l | 4 7. What is the speed of 12f: W}: A. 2.0 "1/5 | B. 5.0 m/s ' C. 7.1 m/s D. 10 m/s E. 50 m/s