Can somebody please help me answer this lab exam? I have included the lab manual 9 as reference for this.

EGG 131L, Summer, Exam 4, 80 points 3. Refer to Lab 9 (25 points) Apply the following data to find the spring constant. Also find the percentage error, assuming the truth value of the spring is 10.0 N/m. Make some comments. Trial Mass T t2 200 gm 9.65 sec N 300 gm 12.98 sec 3 400 gm 13.17 sec 500 gm 14.23 sec 5 600 gm 17.84 sec 6 700 gm 15.23 sec 800 gm 20.35 sec 900 gm 19.21 sec 9 1000 gm 21.34 sec 10 1100 gm 22.76 sec 11 1200 gm 23.32 sec 12 1300 gm 24.62 secEGG 131L, Summer, Exam 4, 80' points The slope: The spring constant: The percentage error: Comments : EGG 131L, Lab 9 Manual, 80 points Simple Harmonic Motion Name: 1. Objective Study oscillatory motion of a mass suspended by a spiral spring. 2. Apparatus Spring, supporting rod, clamp, stopwatch, and a set of slotted weights. 3. Theory A mass suspended by a light spring will execute vibrations if its restoring force opposes its displacement from an equilibrium position. This kind vibration is an example of simple harmonic motion. A more sophisticated study of this motion reveals: t = 2 n where t is the period of the vibration, M is the suspended mass, and k is the spring constant. This equation expresses the relation between the vibration period of the spring and the amount of mass attached to the spring. By squaring both sides of the equation one can get: t' = (4x3/k) M Let to be y, M be x, and (4x /k) be m, then the above equation becomes y = mx, that is in form of the equation of a straight line, where m is the slope. By plotting the graph, the slope can be obtained, and then the spring constant k can be found. 4. Preparation 4.1 Read the following article to get some idea about a simple pendulum https://en. wikipedia.org/wiki/Oscillation https://www.khanacademy.org/science/ap-physics-1/simple-harmonic-motion-ap/spring-mass-systems- ap/a/simple-harmonic-motion-of-spring-mass-systems-ap 4.2 Watch the following videos to see a demonstration for this lab. https://www.youtube.com/watch?v=FJBPNJR2QJU 1EGG 131L, Lab 9 Manual, 80 points https://www.khanacademy.org/science/ap-physics-1/simple-harmonic-motion-ap/spring-mass- systems-ap/v/period-dependance-for-mass-on-spring 5. Procedure 5.1 Attach a mass of 0.2 kg to the spring, and make it vibrating (oscillating). Measure the time T elapsed for 10 small-amplitude oscillations. To obtain the reliable value of T, avoid pendulum-like swinging of the spring, or bumping of the weights. Record your data in the following table. The time t for a single vibration then is 0.1 T. 5.2 Repeat the same procedure for the different masses as indicated in the table. 5.3 Plot a graph using t' as y-axis, and M as x-axis. Find the slope. From the slope find the k; and then compare it with the average value of k from experiment 5 to find the percentage difference