4) Two distances are measured for the same object. The first is 4.03±0.04 cm; and the second is 4.14+0.03 cm, are they in agreement? (See analysis section 3.b – show your work.)
4) Two distances are measured for the same object. The first is 4.03±0.04 cm; and the second is 4.14+0.03 cm, are they in agreement? (See analysis section 3.b – show your work.)
College Physics
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ISBN:9781305952300
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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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![4) Two distances are measured for the same object. The first is 4.03±0.04cm; and the second is
4.14+0.03 cm, are they in agreement? (See analysis section 3.b – show your work.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67fbd5d8-0948-4b18-8071-fc784645c75f%2F24780310-07c0-441e-9d88-c8671a54c58e%2Fbptf4hh_processed.png&w=3840&q=75)
Transcribed Image Text:4) Two distances are measured for the same object. The first is 4.03±0.04cm; and the second is
4.14+0.03 cm, are they in agreement? (See analysis section 3.b – show your work.)
![b. Compare your determination of the acceleration due to gravity to the "accepted value"
(9.81 ± 0.03 m/s?) guantitatively. Do they agree?
i. To compare two values with uncertainties, you find the difference and compare
them to the propagated uncertainties. That is if there are two values a ±da and
b±db, you need to compare a-b to 2/(Sa) +(8b) . If the difference is
smaller than the propagated uncertainty, then the two values are in agreement,
if not, they do not agree. You should ask the question:
i. ļa-b| s 2(da) +(öb}
iii. If it is true, the values are in agreement, if the statement is not true, the values
are not in agreement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67fbd5d8-0948-4b18-8071-fc784645c75f%2F24780310-07c0-441e-9d88-c8671a54c58e%2Flbh1nu_processed.png&w=3840&q=75)
Transcribed Image Text:b. Compare your determination of the acceleration due to gravity to the "accepted value"
(9.81 ± 0.03 m/s?) guantitatively. Do they agree?
i. To compare two values with uncertainties, you find the difference and compare
them to the propagated uncertainties. That is if there are two values a ±da and
b±db, you need to compare a-b to 2/(Sa) +(8b) . If the difference is
smaller than the propagated uncertainty, then the two values are in agreement,
if not, they do not agree. You should ask the question:
i. ļa-b| s 2(da) +(öb}
iii. If it is true, the values are in agreement, if the statement is not true, the values
are not in agreement.
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