Length Contraction Question (1 Viewer)

TeaYarn

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A 100m long Klingon space vessel flies past Saturn at 0.25c. The diameter of Saturn as seen from the Earth is 120 000 km. Calculate:
a) its diameter as seen by the Klingons
b) the length of the Klingon vessel as seen from Saturn?

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bokat

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a) The diameter will contract in the direction of motion but unchanged perpendicular to the motion.
In the direction of motion the diameter will be 120000xsqrt(1-(0.25c/c)^2)=116190.5 km.
b) The length of the Klington vessel as seen from earth will be contracted, so multiply its stationary length be sqrt(1-(v/c)^2)
So the length as seen from earth will be 100xsqrt(1-(0.25c/c)^2)= 96.82 m

Reza Bokat,
www.cambridgecoaching.com.au
 

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