4) Two distances are measured for the same object. The first is 4.03±0.04cm; and the second is4.14+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 comparethem to the propagated uncertainties. That is if there are two values a ±da andb±db, you need to compare a-b to 2/(Sa) +(8b) . If the difference issmaller 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 valuesare not in agreement.

Answered: 4) Two distances are measured for the…

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

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

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.

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