Report on the percentage errors (with uncertainty) between the value of 'k' from the F vs displacement plot and each of the values of 'k' from the period measurements. Please comment on the goodness of the results.   Value of k = Spring constant k = 50.00 N/m Each of the values of k from period measurements:  Six Measurements of time for 5 osccilations: t1 = 7.76s, t2=8.00s, t3=7.40s, t4=7.00s, t5=6.90s, t6=7.10s (t1-tavg)^2 = (7.76-7.36)^2 = 0.16%(t2-tavg)^2 =(8.00-7.36)^2 = 0.4096%(t3-tavg)^2 =(7.40-7.36)^2 = 0.0016%(t4-tavg)^2 =(7.00-7.36)^2 = 0.1296%(t5-tavg)^2 =(6.90-7.36)^2 = 0.2116%(t6-tavg)^2 =(7.10-7.36)^2 = 0.0676

University Physics Volume 1
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Chapter1: Units And Measurement
Section: Chapter Questions
Problem 81AP: Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time....
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Report on the percentage errors (with uncertainty) between the value of 'k' from the F vs displacement plot and each of the values of 'k' from the period measurements. Please comment on the goodness of the results.

 

Value of k = Spring constant k = 50.00 N/m

Each of the values of k from period measurements: 

Six Measurements of time for 5 osccilations: t1 = 7.76s, t2=8.00s, t3=7.40s, t4=7.00s, t5=6.90s, t6=7.10s

(t1-tavg)^2 = (7.76-7.36)^2 = 0.16
%(t2-tavg)^2 =(8.00-7.36)^2 = 0.4096
%(t3-tavg)^2 =(7.40-7.36)^2 = 0.0016
%(t4-tavg)^2 =(7.00-7.36)^2 = 0.1296
%(t5-tavg)^2 =(6.90-7.36)^2 = 0.2116
%(t6-tavg)^2 =(7.10-7.36)^2 = 0.0676

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