According to a mathematical model, the spring constant k, of a spring can be written as: k= 4² m T² where T is the period of oscillation of a mass m attached to a spring. You obtained the slope of a straight trendline from a plot of T² vs m, and estimated the uncertainty of this slope by drawing minimum and maximum slope lines (i.e. min-max method). Your result is slope 9.841 [units] ± 0.0725 [units], where units represent the appropriate units. Assume your calculated value of k is 4.012 [units]. What will be the uncertainty in k? 0.296 [units] 0.0725 [units] 0.00737 [units] O 0.0296 [units]

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According to a mathematical model, the spring
constant k, of a spring can be written as:
k = 4² m
T²
where T is the period of oscillation of a mass m
attached to a spring.
You obtained the slope of a straight trendline
from a plot of T² vs m, and estimated the
uncertainty of this slope by drawing minimum
and maximum slope lines (i.e. min-max method).
Your result is
slope = 9.841 [units] ± 0.0725 [units],
where units represent the appropriate units.
Assume your calculated value of k is 4.012
[units]. What will be the uncertainty in k?
0.296 [units]
O 0.0725 [units]
0.00737 [units]
O 0.0296 [units]
Transcribed Image Text:According to a mathematical model, the spring constant k, of a spring can be written as: k = 4² m T² where T is the period of oscillation of a mass m attached to a spring. You obtained the slope of a straight trendline from a plot of T² vs m, and estimated the uncertainty of this slope by drawing minimum and maximum slope lines (i.e. min-max method). Your result is slope = 9.841 [units] ± 0.0725 [units], where units represent the appropriate units. Assume your calculated value of k is 4.012 [units]. What will be the uncertainty in k? 0.296 [units] O 0.0725 [units] 0.00737 [units] O 0.0296 [units]
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