what would be the difference between proper length l0l0l 0 and the length lll measured by an observer moving at 30 m/sm/s for a proper length of 5 mm (a reasonable proper length for a car)? use a similar procedure to the one you used in the previous part. express your answer in meters to three significant figures. use c=3×108m/s.

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09-12-2022
Physics

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what would be the difference between proper length l0l0l 0 and the length lll measured by an observer moving at 30 m/sm/s for a proper length of 5 mm (a reasonable proper length for a car)? use a similar procedure to the one you used in the previous part. express your answer in meters to three significant figures. use c=3×108m/s.

Answer :

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kjuli1766 kjuli1766 · Answer 1 · 2022-12-17T06:08:23-05:00

The difference is 2.5 x 10^-14 which is smaller than the diameter of an atom. For everday situations, it is a very good approximation to assume that all measured lengths are equal to their proper lengths

Calculation :

L = Lo*sqrt(1-(v/c)^2)

by solving this

Lo-L = 2.5 x 10^-14

notice this difference, which is much smaller than the diameter of an atom. For everday situations, it is a very good approximation to assume that all measured lengths are equal to their proper lengths.

A measurement is a quantification of an attribute of an object or event that can be used to compare it with other objects or events. [1][2] In other words, a measurement is a way of determining how large or small a physical quantity is compared to a base reference quantity of the same kind. The scope and application of measurements are situation and field dependent. In science and engineering, measurement does not refer to the nominal properties of an object or event, consistent with the guidelines of the International Glossary of Metrology published by the International Bureau of Weights and Measures.

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