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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 × 10-10 m)? Assume the width of the sprinter's body at rest is 25.0 cm. (a) Number i 2.998E8 (b) Number i 2.998E8 Units Units m/s m/s

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 × 10-10 m)? Assume the width of the sprinter's body at rest is 25.0 cm. (a) Number i 2.998E8 (b) Number i 2.998E8 Units Units m/s m/s

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Your answer is partially correct. 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 i 2.998E8 (b) Number i 2.998E8 Units Units m/s m/s V
Transcribed Image Text:Your answer is partially correct. 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 i 2.998E8 (b) Number i 2.998E8 Units Units m/s m/s V
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