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cdn.fbsbx.com Done (8) Using Microsoft Excel, make a graph with T2 on the y-axis and mass on the x-axis. (9) Determine the equation of the line which goes through your data points. z. (1) Compare Hooke's Law governing the spring in this lab and the general equation for a straight line to explain why the graph you made in Part A will be a straight line. Use this comparison to show what the value of the slope and yintercept should be in terms of \"k\" and L. Formula of Hooke's Law : F = -k * x Equation of a straight line y = m * x + c In this case, we can see that Hooke's Law is similar to straight line equation because... 1. c in y = mx+c which is the y-int and comparing to Hooke's Law gives c = 0 (zero) 2. y in y =mx+c means F (m*g) in Hooke's Law and in Part A's graph 3. m in y = mx+c which is the slope of the straight line is equal to k or -k in Hooke's Laww. According to the graph of part A, (2) What are the actual slope and y-intercept for this graph? What is the numerical value for the spring constant of the spring? Verify that your y-intercept matches the expression from Question (1). O a] cdn.fbsbx.com Done Hooke 3* Law Lab In this lab, we will try to determine the spring constant (k) of a given spring using Hooke's Law and the period of a pendulum. TZ Ill F=k(dL)=kdkL '" I where d = full length of spring at any given time where L = initial length of the spring before any stretching or compressing Part A Stretching the Spring to Determine k (1) Hang the spring with the weight holder (50 grams) and an additional 200 grams. (We will refer to this as its equilibrium length. We also call this \"zero mass\".) (2) Measure the length of the spring at this point (L). (3) Add masses to the spring one at a time, measuring the full spring length (d) each time. Equilibrium Length of Spring (L) = _0.35 m (4) Using Microsoft Excel, make a graph with mg on the y-axis and spring length on the xaxis. (5) Determine the equation of the line which goes through your data points. A 3 c D E r G H I J K 1 SpringLength(m m.g(N) cdn.fbsbx.com Done (4) Using Microsoft Excel, make a graph with mg on the y-axis and spring length on the x-axis. (5) Determine the equation of the line which goes through your data points. A 3 Spnng Length (m mg (N) 0.35 U 039 0.425 0465 0 931 'l 952 2 943 U 505 0.54 mmmmhpwa 3 924 4 905 058 9 062 5 586 E- 867 mm (N) m Part B Measuring the Period of Oscillation to Determine k (6) Place a mass on the spring and determine how long it takes to oscillate 10 complete cycles. For this problem, the entire mass is oscillating so there is no need to zero out the mass like before. (7) Divide this number by 10 to get the period of oscillation. Total Mass Time for 10 cycles . , 2 2 Period 5 0.35 0.715 0.511 0.45 8.04 0.804 0.546 0.55 8.90 0.890 0.792 0.65 0.943 0.889 0.75 10.15 1.015 1.030 0.85 11.19 1.119 1.252 (8) Using Microsoft Excel, make a graph with T2 on the y-axis and mass on the x-axis. (9) Determine the equation of the line which goes through your 0,1, , O m cdn.fbsbx.com Done (2) What are the actual slope and y-intercept for this graph? What is the numerical value for the spring constant of the spring? Verify that your yintercept matches the expression from Question (1). (3) Compare the Period formula governing the oscillation and the general equation for a straight line to explain why the graph you made in Part B will be a straight line. Use this comparison to show what the value of the slope should be in terms of \"k" and \".1: What should the y-intercept be? (4) What are the actual slope and yintercept for this graph that you made? From your slope, calculate the spring constant of the spring. Calculate the percent difference of k from Question (2). (5) What happened to the period of oscillation for this mass-spring system as the mass increased? Give a conceptual explanation (no equations) of why the period would do this