Each measurement we take has a level of uncertainty in it. The smaller the uncertainty, the larger theprecision our measurement has. Let's revisit how one might go about estimating the uncertainty in ameasurement.If we assume our instrument is properly calibrated and we are not introducing systematic errorthrough improper techniques, then if we take enough measurements, the average of thesemeasurements will be around the true value. The upper and lower bounds of these measurementswould then give us one method for determining our measuring device's uncertainty. (This of courseis only true for a large set of measurements, but the approximation is good enough for now to get usstarted).For example, say we perform last week's experiment of pulling a block at a constant velocity with aforce sensor across another rough surface. We take the following five measurements:F, = {2.51 N, 2.53 N, 2.50 N, 2.54 N, 2.49 N}The average of this dataset isF, = 2.51 NNow we have the choice of finding the standard deviation of the set, but this is less true sincethere's only five data points so it is sufficient to use the furthest distance from our average here asan estimate of uncertainty, i.e.2.53 – 2.51 = 0.02 N F, = 2.51 + 0.02 N Suppose we use the same force measurements above and were pulling a 1.3 kg mass block. Usingthe same method, what would be the value of our coefficient of friction?(let's ignore the uncertainty in mass for now as it is negligible)O 0.197 + 0.02O 0.197 +0.01O 0.197 + 0.002O 0.197 + 0.001

Answered: Image /qna-images/answer/b35b81d2-c0a0-439a-80f6-816cb67586ce.jpg

Suppose we use the same force measurements above and were pulling a 1.3 kg mass block. Using the same method, what would be the value of our coefficient of friction? (let's ignore the uncertainty in mass for now as it is negligible) O 0.197 + 0.02 O 0.197 + 0.01 O 0.197 + 0.002 O 0.197 + 0.001

Suppose we use the same force measurements above and were pulling a 1.3 kg mass block. Using the same method, what would be the value of our coefficient of friction? (let's ignore the uncertainty in mass for now as it is negligible) O 0.197 + 0.02 O 0.197 + 0.01 O 0.197 + 0.002 O 0.197 + 0.001

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Each measurement we take has a level of uncertainty in it. The smaller the uncertainty, the larger the
precision our measurement has. Let's revisit how one might go about estimating the uncertainty in a
measurement.
If we assume our instrument is properly calibrated and we are not introducing systematic error
through improper techniques, then if we take enough measurements, the average of these
measurements will be around the true value. The upper and lower bounds of these measurements
would then give us one method for determining our measuring device's uncertainty. (This of course
is only true for a large set of measurements, but the approximation is good enough for now to get us
started).
For example, say we perform last week's experiment of pulling a block at a constant velocity with a
force sensor across another rough surface. We take the following five measurements:
F, = {2.51 N, 2.53 N, 2.50 N, 2.54 N, 2.49 N}
The average of this dataset is
F, = 2.51 N
Now we have the choice of finding the standard deviation of the set, but this is less true since
there's only five data points so it is sufficient to use the furthest distance from our average here as
an estimate of uncertainty, i.e.
2.53 – 2.51 = 0.02 N F, = 2.51 + 0.02 N

Suppose we use the same force measurements above and were pulling a 1.3 kg mass block. Using
the same method, what would be the value of our coefficient of friction?
(let's ignore the uncertainty in mass for now as it is negligible)
O 0.197 + 0.02
O 0.197 +0.01
O 0.197 + 0.002
O 0.197 + 0.001

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