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How fast would a rocket have to go relat...

How fast would a rocket have to go relative to an observer for its length to be corrected to 99% of its length at rest.
Data: `(l)/(l_(0))=99% =(99)/(100)`, v = ?

Text Solution

Verified by Experts

`l=l_(0)sqrt(1-(v^(2))/(c^(2)))`
`l=(99)/(100)l_(0)`
`(l)/(l_(0))=(99)/(100)`
`:. (99)/(100)=sqrt(1-(v^(2))/(c^(2)))`
`:.` v = 0.141 C
`v=0.141 xx 3 xx 10^(8)`
`v=0.423 xx 10^(8) ms^(-1)`
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