Answered: How fast must a ship be travelling for…

How fast must a ship be travelling for a stationary observer to measure its contracted length as 5.0 times smaller than its proper length?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 8PQ

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Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

How fast must a ship be travelling for a stationary observer to measure its contracted length as 5.0 times smaller than its proper length?

Calculate the rest energy (i.e. v = 0), to the nearest MeV, of a single neutron (m_n = 1.008 664u).

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