Zhikai Data analysis - ± 0.3 cm/s Uncertainty of s is 2 cm...

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Qn 2 Mass M (kg) Period T (s) Y best 1 0.513 1.24 1.54 1.53 2 0.581 1.33 1.77 1.74 3 0.634 1.36 1.85 1.90 4 0.691 1.44 2.07 2.07 5 0.752 1.50 2.25 2.26 6 0.834 1.59 2.53 2.51 7 0.901 1.65 2.72 2.71 8 0.950 1.69 2.86 2.86 Sum 5.856 11.80 17.59 17.59 LINEST() m 3.05 -0.0353 c 0.0633 0.0473 0.997 0.0260 Best estimated (k) 12.9 Uncertainty (k) 0.269 T 2 σ m σ c r 2 σ y kg/s 2 kg/s 2 Answer: The estimate of the spring constant k is (12.9 ± 0.3) kg/s 2 0.400 0.500 0.600 0.700 0.800 0.900 1.000 0.00 0.50 1.00 1.50 2.00 2.50 3.00 Graph of T^2 against Mass
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Qn 3 Mass M (g) Length L (cm) Diameter d (cm) 1 20.6 2.68 1.07 0.899 2.41 8.55 2 20.5 2.67 1.05 0.866 2.31 8.87 3 20.6 2.65 1.06 0.882 2.34 8.81 4 20.4 2.69 1.05 0.866 2.33 8.76 5 20.3 2.67 1.04 0.849 2.27 8.95 Sum 102.4 13.36 5.27 4.363 11.66 43.93 LINEST() m 2.02 15.8 c 0.880 2.05 0.638 0.0905 Best estimated p (kg/cm^3) 8.79 Uncertainty (kg/cm^3) 0.068 Area (cm 2 ) Volume (cm 3 ) Density (gcm -3 ) σ m σ c r 2 σ y kg/cm 3 kg/cm 3 Answer: The estimated density is (8.79 ± 0.07) kg/cm 3
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Qn 4 Time t (s) Position s (cm) 1 -4 13 2 -2 25 3 0 34 4 2 42 5 4 56 Sum 0 170 LINEST() m 5.15 34.0 c 0.275 0.779 0.991 1.74 Best estimated v 5 cm/s 34 cm Standard deviation of S 2 cm
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Unformatted text preview: ± 0.3 ) cm/s Uncertainty of s is 2 cm σ m c r 2 y Best estimated S Answer: Best estimate for s 0 is (34 ± 0.8) cm-5-4-3-2-1 1 2 3 4 5 10 20 30 40 50 60 Graph of position vs time Column C Linear Regression for Column C Linear Regression for Column C Qn 5 1 0.5 10 10.317 10.3 2 1.0 20 0.496 19.5 3 2.0 38 2.410 38.0 4 3.0 56 0.000 56.4 5 4.0 75 1.297 74.8 LINEST() m 18.4 1.10 c 0.143 0.353 1.00 0.411 Estimated concentration of mercury 1.3 ppb Uncertainty 0.5 ppb Answer: The estimated concentration of mercury is (1.3 ± 0.5) ppb Mercury concentration (ppb) Absorption (arbitrary Units) Error bar Absorption b est σ m c r 2 y 0.5 1 1.5 2 2.5 3 3.5 4 4.5 10 20 30 40 50 60 70 80 10 20 38 56 75 Graph of Absorption vs Mercury c Column C Linear Regression f...
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