Report for lab M2 - LAB REPORT FOR M2 EXPERIMENT FREE FALL...

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LAB REPORT FOR M2 EXPERIMENT: FREE FALL VI-1: For this section of the lab I included the time (t) it took for the metal ball to free fall based on its height from the ground (d). Since there were 6 different drops for the smaller ball and 1 drop for the larger ball, I have included 7 tables that contain each individual time (t) as well as the average time ( _ t ), time squared (t 2 ) the standard deviation of time squared ( 2 t σ ) and the average time squared ( 2 t ). For tables 6 and 7 I included the standard deviation of time ( t σ ) as well. In order to calculate all of these values I utilized Microsoft EXCEL to find: t σ , 2 t σ , _ t , t 2 and 2 t . The formulas for these calculations are below the tables: Drop 1: d = 0.262m Drop 2: d = 0.501m Trial # t (sec) t 2 (sec 2 ) 1 0.228 2 0.05208 2 0.228 4 0.05217 3 0.228 4 0.05217 4 0.228 9 0.05240 5 0.228 7 0.05221 _ t 0.228 5 N/A 2 t N/A 0.05222 2 t σ N/A 0.000127 Drop 3: d = 0.722m Drop 4: d = 0.981m Trial # t (sec) t 2 (sec 2 ) 1 0.382 2 0.1460 2 0.382 3 0.1462 3 0.382 2 0.1461 4 0.382 0.1464 Trial # t (sec) t 2 (sec 2 ) 1 0.312 9 0.09791 2 0.313 5 0.09828 3 0.313 1 0.09803 4 0.312 8 0.09784 5 0.312 1 0.09741 _ t 0.312 9 N/A 2 t N/A 0.09789 2 t σ N/A 0.00032
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6 5 0.382 3 0.1462 _ t 0.382 3 N/A 2 t N/A 0.1462 2 t σ N/A 0.000126 Drop 5: d = 1.181m Trial # t (sec) t 2 (sec 2 ) 1 0.445 9 0.1988 2 0.446 6 0.1995 3 0.446 8 0.1996 4 0.446 9 0.1997 5 0.446 1 0.1990 _ t 0.446 5 N/A 2 t N/A 0.1993 2 t σ N/A 0.000392 Trial # t (sec) t 2 (sec 2 ) 1 0.490 6 0.2407 2 0.490 0 0.2401 3 0.489 4 0.2395 4 0.489 4 0.2395 5 0.489 6 0.2397 _ t 0.489 8 N/A 2 t N/A 0.2399 2 t σ N/A 0.0005
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Drop 6: d = 1.477m Drop 7: d = 1.477m t t t × = 2 n t t t t n + + + = ... 2 1 n t t t t n 2 2 2 2 1 2 ) ( ... ) ( ) ( + + + = t σ = 2 t σ = Trial # t (sec) t 2 (sec 2 ) 1 0.5481 0.3004 2 0.5480 0.3003 3 0.5481 0.3004 4 0.5478 0.3001 5 0.5486 0.3010 _ t 0.5481 N/A 2 t N/A 0.3004 t σ 0.00029 5 N/A 2 t σ N/A 0.000323 Trial # t (sec) t 2 (sec 2 ) 1 0.5489 0.3013 2 0.5494 0.3018 3 0.5499
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