Data: Part 1: Determining the Spring Constant Data Table 1: Determine the Spring Constant (Plot Force vs. Displacement). Cart's initial position: 39 Cm Hanging Mass Position Displacement from Hanging Force (mg) (kg) (m Equilibrium (m) 0.125 0.0371 0. 902 2045 0. 45 0 10 05 4-41 1 65 0 031 0 2 0 08 6. 37 1 029 8.33 0. 027 0 . 012 8 . 82 k (spring constant) = 980 min Part 2: Conservation of Energy Data Table 2: Energy of the system. Parameter Values Mass of cart (kg) 0. 495 Initial position (m) 10 051 Second position (m) 1.033 Third position (m) 0 481 Track angle 0 (degrees) 50 Spring maximum compression x (m) 0. 019 Distance traveled d (m) 0. 571 Maximum height h (m) 0.0479 Maximum gravitational potential energy () 0 . 2 41 Maximum spring potential energy (J) 0. 151 Maximum velocity (m/s) 0. 71 Maximum kinetic energy (J) 0 , 125ESC Show your work for Table 2: 14 - xy = 105 - 1033 = 0. 017m d= *0- xq = 1.05 - 0.481 7 0.569 1. Calculate the % difference between the maximum gravitational potential energy and maximum spring potential energy: 2. Calculate the total energy when the kinetic energy is maximum: 3. Calculate the % difference between the total energy and maximum spring potential energy:Post Lab Questions: 1. In Part 1, did you get the expected relationship between spring force and the displacement of the spring on your graph? Explain. 2. In Part 2, which is larger the spring potential energy or the gravitational potential energy? If one is larger than the other where did this lost energy go? Why would it not make any sense if GPE is larger than SPE? Would this violate any law of nature? 3. In part 2, can you say, based on your data, that mechanical energy is conserved? Explain