Trials Mass (g) +50 Time (Seconds) Avg. Displacement Displacement (cm) +4 Actual displacement Cm Total Displacement (M) Total Mass (g) Total mass (kg) Average Mass (kg) Average Displacement (m) Force (N) avg. time Spring Constant (N/m) Period (sec) Average Period (Sec) Average Displacement (m) Average Period (Sec) avg. time log mass log time Spring Constant (N/m) Period (sec) Average Spring constant Average Mass (kg) Period (sec) Average Force Average Displacement 1 200 5.23 62.23333333 62.3 24.7 0.247 250 0.25 0.25 0.246333333 2.4525 5.383333333 9.956021651 0.995650592 0.538333333 0.246333333 0.538333333 5.383333333 -0.602059991 -0.268948728 9.956021651 0.995650592 13.4941048 0.25 0.995650592 4.4145 0.327142857 2 200 5.59 63.1 62.2 24.6 0.246 250 0.25 0.27 0.255 2.6487 6.246666667 10.38705882 1.013014017 0.624666667 0.255 0.624666667 6.246666667 -0.568636236 -0.204351668 10.38705882 1.013014017 0.27 1.013014017 3 200 5.33 63.8 62.2 24.6 0.246 250 0.25 0.29 0.262 2.8449 6.73 10.85839695 1.026823999 0.673 0.262 0.673 6.73 -0.537602002 -0.171984936 10.85839695 1.026823999 0.29 1.026823999 1 220 6.11 64.56666667 63.1 25.5 0.255 270 0.27 0.31 0.269666667 3.0411 7.27 11.27725587 1.041739179 0.727 0.269666667 0.727 7.27 -0.508638306 -0.138465589 11.27725587 1.041739179 0.31 1.041739179 2 220 6.18 65.5 63.1 25.5 0.255 270 0.27 0.33 0.279 3.2373 7.923333333 11.60322581 1.05961346 0.792333333 0.279 0.792333333 7.923333333 -0.48148606 -0.101092073 11.60322581 1.05961346 0.33 1.05961346 3 220 6.45 66.2 63.1 25.5 0.255 270 0.27 0.35 0.286 3.4335 8.176666667 12.00524476 1.072823755 0.817666667 0.286 0.817666667 8.176666667 -0.455931956 -0.087423707 12.00524476 1.072823755 0.35 1.072823755 1 240 6.77 67 63.9 26.3 0.263 290 0.29 0.37 0.294 3.6297 8.27 12.34591837 1.087724798 0.827 0.294 0.827 8.27 -0.431798276 -0.08249449 12.34591837 1.087724798 0.37 1.087724798 2 240 6.78 68 63.7 26.1 0.261 290 0.29 0.39 0.304 3.8259 8.683333333 12.58519737 1.106068837 0.868333333 0.304 0.868333333 8.683333333 -0.408935393 -0.061313527 12.58519737 1.106068837 0.39 1.106068837 3 240 6.64 68.7 63.8 26.2 0.262 290 0.29 0.41 0.311 4.0221 8.853333333 12.93279743 1.118730708 0.885333333 0.311 0.885333333 8.853333333 -0.387216143 -0.052893184 12.93279743 1.118730708 0.41 1.118730708 1 260 7.42 69.6 64.5 26.9 0.269 310 0.31 0.43 0.32 4.2183 9.046666667 13.1821875 1.134802683 0.904666667 0.32 0.904666667 9.046666667 -0.366531544 -0.043511411 13.1821875 1.134802683 0.43 1.134802683 2 260 7.25 70.3 64.6 27 0.27 310 0.31 0.45 0.327 4.4145 9.323333333 13.5 1.147147442 0.932333333 0.327 0.932333333 9.323333333 -0.346787486 -0.030428788 13.5 1.147147442 0.45 1.147147442 3 260 7.14 71.1 64.6 27 0.27 310 0.31 0.47 0.335 4.6107 9.456666667 13.76328358 1.161095036 0.945666667 0.335 0.945666667 9.456666667 -0.327902142 -0.024261919 13.76328358 1.161095036 0.47 1.161095036 1 280 7.99 72 65.5 27.9 0.279 330 0.33 0.49 0.344 4.8069 9.586666667 13.97354651 1.176588464 0.958666667 0.344 0.958666667 9.586666667 -0.30980392 -0.018332373 13.97354651 1.176588464 0.49 1.176588464 2 280 8 72.8 65.5 27.9 0.279 330 0.33 0.51 0.352 5.0031 9.89 14.21335227 1.190191095 0.989 0.352 0.989 9.89 -0.292429824 -0.004803708 14.21335227 1.190191095 0.51 1.190191095 3 280 7.78 73.6 65.5 27.9 0.279 330 0.33 0.53 0.36 5.1993 10.11333333 14.4425 1.203640008 1.011333333 0.36 1.011333333 10.11333333 -0.27572413 0.004894322 14.4425 1.203640008 0.53 1.203640008 1 300 8.27 74.3 66.2 28.6 0.286 350 0.35 0.55 0.367 5.3955 10.17333333 14.70163488 1.215285725 1.017333333 0.367 1.017333333 10.17333333 -0.259637311 0.007463275 14.70163488 1.215285725 0.55 1.215285725 2 300 8.14 75.2 66.2 28.6 0.286 350 0.35 0.57 0.376 5.5917 10.51333333 14.87154255 1.230096795 1.051333333 0.376 1.051333333 10.51333333 -0.244125144 0.021740434 14.87154255 1.230096795 0.57 1.230096795 3 300 8.12 75.9 66.2 28.6 0.286 350 0.35 0.59 0.383 5.7879 10.52333333 15.11201044 1.241494362 1.052333333 0.383 1.052333333 10.52333333 -0.229147988 0.022153327 15.11201044 1.241494362 0.59 1.241494362 1 320 8.11 76.2 67 29.4 0.294 370 0.37 0.61 0.386 5.9841 10.77333333 15.50284974 1.246347127 1.077333333 0.386 1.077333333 10.77333333 -0.214670165 0.032350097 15.50284974 1.246347127 0.61 1.246347127 2 320 8.3 77.8 67 29.4 0.294 370 0.37 0.63 0.402 6.1803 10.83333333 15.3738806 1.271915885 1.083333333 0.402 1.083333333 10.83333333 -0.200659451 0.034762106 15.3738806 1.271915885 0.63 1.271915885 3 320 8.4 78.7 67 29.4 0.294 370 0.37 0.65 0.411 6.3765 11.07333333 15.51459854 1.286074939 1.107333333 0.411 1.107333333 11.07333333 -0.187086643 0.044278373 15.51459854 1.286074939 0.65 1.286074939 1 340 8.58 68 30.4 0.304 390 0.39 2 340 8.61 68 30.4 0.304 390 0.39 3 340 8.86 68 30.4 0.304 390 0.39 1 360 9.01 68.7 31.1 0.311 410 0.41 2 360 8.51 68.8 31.2 0.312 410 0.41 3 360 9.04 68.6 31 0.31 410 0.41 1 380 9.02 69.6 32 0.32 430 0.43 2 380 9.1 69.6 32 0.32 430 0.43 3 380 9.02 69.6 32 0.32 430 0.43 1 400 9.16 70.3 32.7 0.327 450 0.45 2 400 9.44 70.3 32.7 0.327 450 0.45 3 400 9.37 70.3 32.7 0.327 450 0.45 1 420 9.26 71.1 33.5 0.335 470 0.47 2 420 9.52 71.1 33.5 0.335 470 0.47 3 420 9.59 71.1 33.5 0.335 470 0.47 1 440 9.68 72 34.4 0.344 490 0.49 2 440 9.41 72 34.4 0.344 490 0.49 3 440 9.67 72 34.4 0.344 490 0.49 1 460 9.82 72.8 35.2 0.352 510 0.51 2 460 10.02 72.8 35.2 0.352 510 0.51 3 460 9.83 72.8 35.2 0.352 510 0.51 1 480 10.16 73.6 36 0.36 530 0.53 2 480 10.07 73.6 36 0.36 530 0.53 3 480 10.11 73.6 36 0.36 530 0.53 1 500 10.23 74.3 36.7 0.367 550 0.55 2 500 10 74.3 36.7 0.367 550 0.55 3 500 10.29 74.3 36.7 0.367 550 0.55 1 520 10.59 75.2 37.6 0.376 570 0.57 2 520 10.26 75.2 37.6 0.376 570 0.57 3 520 10.69 75.2 37.6 0.376 570 0.57 1 540 10.87 75.9 38.3 0.383 590 0.59 2 540 10.37 75.9 38.3 0.383 590 0.59 3 540 10.33 75.9 38.3 0.383 590 0.59 1 560 10.74 76.2 38.6 0.386 610 0.61 2 560 10.82 76.2 38.6 0.386 610 0.61 3 560 10.76 76.2 38.6 0.386 610 0.61 1 580 10.8 77.8 40.2 0.402 630 0.63 2 580 10.91 77.8 40.2 0.402 630 0.63 3 580 10.79 77.8 40.2 0.402 630 0.63 1 600 11.11 78.7 41.1 0.411 650 0.65 2 600 11.05 78.7 41.1 0.411 650 0.65 3 600 11.06 78.7 41.1 0.411 650 0.65