Fxperimeat 2: To detemine a muthematical model between the ensecting of the spring ind the force pulline on the movalle end of the ingine: Procedore: In this experiment, lay the spring out horionotally on a counlert or table and artach one end of the spring firmly to the counter or table sop. Tape a piece of paper under the spring so that it will saill be under the spring when the spring is stretchod ieveral ceetrimeters. Atsach the forse scate to the other end of the spriag Mark where the cod of the speing is when the forte is not pulling (zero force). Then use the forse scale to stretch the epring and make several measurements of the spring extensicn (from zero) and the scsociated foece icale reatise. Remernber to use appropriate techriques of measurement that you keurned in Representing Meaburement. 3. Prediet what the mathematical telationship berucen the vartables will look like. 4 CHathor the Anat: "Have you included the best valoe and uncertainfy for the measurements? 5. Graph your set of points for force applied vs. spring extension (from relaxed spring with no force). Put force on the vertical axis and spring extension on the horizontal axis. Then, draw the best-fit line through your set of points. 6. Write a mathematical relationship between force applied and spring extension. Hint: Remember your work with Ratio Reasoning. 7. Explain how you could predict the force it would take for any possible extension within the range of the spring, even one that you did not measure earlier. Use your mathematical model (the mathematical relation you determined). 8. Summarize issues and ideas related to mathematical modeling below