1) (extension) You have constructed an Energy-Interaction Model for physical phenomenon described in Activity 2.8. You are now going to reason with this to make sense of and to explain why Set B of the masses (the set with the smaller masses) moved faster than Set A. Here you will not be relying on your intuition, but on solid principles and logical argument. Comparing the changes in energies: a) Write down the total kinetic energy of the two masses (the sum of the KEs). During the process (from initial to final), does the total kinetic energy increase, decrease, or stay the same? How do you know? Is your response the same for both Set A and Set B? b) Write down the total potential energy of the two masses (the sum of the PEs). During the process does the total potential energy, decrease, or stay the same? How do you know? Is your response the same for both Set A and Set B? c) Compare the magnitude of the total change in PE of both masses that occurs during the process between Set A and Set B. Are the total changes the same or different? Explain. d) Compare the magnitude of the total change in KE of both masses that occurs during the process between Set A and Set B. Are the total changes the same or different? Explain. Creating a Solid Scientific Explanation: e) Using your responses to questions a)-d) develop a logical argument based on the Energy-Interaction Model that explains why the set of masses with smaller total mass move faster that the set with greater total mass O as long as the difference between the two masses in each set is the same. Using the expression you developed in Activity 2.8 B) 2), solve for the final velocity in terms of m, M, g, v, and d. Using this equation argue which set should be moving faster. Does your answer agree with your argument that you have developed in e) above? 2) (solidification) A 0.4-kg mass is attached to a spring that can compress as well as stretch. The mass and spring are resting on a horizontal tabletop. The spring constant is 50 N/m. The mass is pulled, stretching the spring 48 cm. The mass is then released, and the spring-mass system begins to oscillate. a) Construct a complete Energy-Interaction diagram to predict the speed of the mass as it passes a point that is a distance of 39 cm from its equilibrium point with the spring compressed? Assume the transfer of energy to thermal systems is negligible