Special relativity tells us that someone sprinting will shrink, or undergo length contraction, along the direction of motion relative to someone at rest. The world's fastest sprinters, like Usain Bolt, can reach speeds near 13.0 m/s. How fast would they have to run so that their length contraction was (a) equal to the width of a human hair (50.0 μm) and (b) equal to the width of an atom (1.00 x 10-10 m)? Assume the width of the sprinter's body at rest is 25.0 cm. (a) Number Units (b) Number i Units

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
Section39.2: Special Case: Galilean Relativity
Problem 39.2CE: Suppose the primed and laboratory observers want to measure the length of a rod that rests on the...
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Special relativity tells us that someone sprinting will shrink, or undergo length contraction, along the direction of motion relative to
someone at rest. The world's fastest sprinters, like Usain Bolt, can reach speeds near 13.0 m/s. How fast would they have to run so that
their length contraction was
(a) equal to the width of a human hair (50.0 μm) and (b) equal to the width of an atom (1.00 x 10-10 m)? Assume the width of the
sprinter's body at rest is 25.0 cm.
(a) Number
Units
(b) Number
i
Units
Transcribed Image Text:Special relativity tells us that someone sprinting will shrink, or undergo length contraction, along the direction of motion relative to someone at rest. The world's fastest sprinters, like Usain Bolt, can reach speeds near 13.0 m/s. How fast would they have to run so that their length contraction was (a) equal to the width of a human hair (50.0 μm) and (b) equal to the width of an atom (1.00 x 10-10 m)? Assume the width of the sprinter's body at rest is 25.0 cm. (a) Number Units (b) Number i Units
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