22. Students are performing an experiment to determine the effective spring constant of two identical springs connected in parallel, as shown below. 4202000 They decide to do this by attaching a 500 gram mass, M, to the springs and placing the mass on a frictionless surface. They pull M to various displacements from equilibrium and measure the resulting speed of the mass when it returns to its equilibrium position, using a motion detector. They record the following data: Displacement from Speed of M when equilibrium (m) the spring returns to x - 0 (my's) 0.05 0.345 0.10 D.638 0.15 D.953 0.20 1.282 0,25 1.584 a) Plot a graph of speed, v. vs. displacement, .x. 2.4 speed ( mis ) Displacement hom equilibrium (on) b) Use the LinReg feature of your calculator to determine the equation of the best fit for the data. 1=6.2442+ 0.0258 c) Using the best fit from your graph, determine the effective spring constant of the two springs. d) The students are told by their teacher that cach individual spring has a spring constant of 10 N/m. Given that information, write a rule for determining the spring constant of two springs connected in parallel. KEFF = K, + K2 KOFF = 20 N/m e) If the surface did in fact have some small amount of friction, what should the students conclude about the true value of ker? Would that mean that the true key is larger than. smaller than, or equal to that which you determined? Larger than Smaller than Equal to Explain. The the value of key would be sonailer becark the maximum cineric energy would be Equiraime to me aping lateretal energy caused by the Faunal form. f) The students then repeat the experiment on a surface that has a high amount of friction. What should be plotted in this case so as to yield a straight that could be used to determine the spring constant? net force ( N) VS. displacement (m ) . The slove of this graph would be equal to the spring constant because the units are N/m