Problem 2. Relativity-the 'pole in barn.' (This is a famous paradox and you might find all sorts of variants of online. Read this version carefully and don't get confused with alternate scenarios.) A runner carries a 5-meter-long pole (as mcasured when the pole is at rest) and runs at an impres- sively high speed of v = The barn doors are open at both ends, so the runner gocs right through. = c through a 4-meter-long barn (as measured when the barn is at rest). (a) According to the farmer at rest with respect to the barn, will the runner and pole 'fit' inside the barn? Calculate the length-contracted length of the pole to answer the question. (b) According to the runner, will the pole 'fit in the barn? Calculate the length-contracted length of the barn to answer the question.

Modern Physics
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ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter16: Cosmology
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Can you answer question 2 part b?

Problem 2. Relativity-the 'pole in barn.'
(This is a famous paradox and you might find all sorts of variants of online. Read this version
carefully and don't get confused with alternate scenarios.)
A runner carries a 5-meter-long pole (as mcasured when the pole is at rest) and runs at an impres-
sively high speed of v =
The barn doors are open at both ends, so the runner gocs right through.
= c through a 4-meter-long barn (as measured when the barn is at rest).
(a) According to the farmer at rest with respect to the barn, will the runner and pole 'fit' inside
the barn? Calculate the length-contracted length of the pole to answer the question.
(b) According to the runner, will the pole 'fit in the barn? Calculate the length-contracted length
of the barn to answer the question.
Transcribed Image Text:Problem 2. Relativity-the 'pole in barn.' (This is a famous paradox and you might find all sorts of variants of online. Read this version carefully and don't get confused with alternate scenarios.) A runner carries a 5-meter-long pole (as mcasured when the pole is at rest) and runs at an impres- sively high speed of v = The barn doors are open at both ends, so the runner gocs right through. = c through a 4-meter-long barn (as measured when the barn is at rest). (a) According to the farmer at rest with respect to the barn, will the runner and pole 'fit' inside the barn? Calculate the length-contracted length of the pole to answer the question. (b) According to the runner, will the pole 'fit in the barn? Calculate the length-contracted length of the barn to answer the question.
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