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Lemuel physics 2 14

Lemuel physics 2 14 - Wong Lemuel – Homework 14 – Due...

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Unformatted text preview: Wong, Lemuel – Homework 14 – Due: May 6 2007, 11:00 pm – Inst: Matt Mackie 1 This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. NOTE the due time is 11pm central, which is MIDNIGHT our time. 001 (part 1 of 2) 10 points Elliot is traveling by a building at 162835 km / s, moving along the width of the building. He measures the building to be 60 m wide and 110 m tall. What is the width of the building as mea- sured by a friend standing at rest next to the building? Correct answer: 71 . 4394 m. Explanation: The Lorentz factor is γ = 1 q 1- ( v c ) 2 = 1 p 1- (0 . 542783) 2 = 1 . 19066 To Elliot, the building appears to be con- tracted by a factor of 1 . 19066 in the di- rection he is moving. Thus the width is 1 . 19066 × 60 m = 71 . 4394 m . 002 (part 2 of 2) 10 points What height of the building would be mea- sured by the friend? Correct answer: 110 m. Explanation: To Elliot, the building appears to be con- tracted by a factor of 1 . 19066 in the direction he is moving, but its height is not affected. Thus, the height of the building is 110 m. keywords: 003 (part 1 of 1) 10 points An unidentified flying object (UFO) flashes across the night sky. A UFO enthusiast on the top of Pike’s Peak determines that the length of the UFO is 90 . 5 m along the direction of motion. If the UFO is moving with a speed of . 844 c, how long is the UFO according to its pilot? Correct answer: 168 . 735 m. Explanation: γ = 1 r 1- v 2 c 2 = 1 p 1- (0 . 844) 2 = 1 . 86448 . Thelengthmeasuredbyanobserverinmotion relative to the ship = 90 . 5 m = L . The length measured by pilot (at rest to ship) is ‘ = γ L = (1 . 86448)(90 . 5 m) = 168 . 735 m . keywords: 004 (part 1 of 2) 10 points The proper mean lifetime of a subnuclear par- ticle called a muon is 2 μ s. Muons in a beam are traveling at 0 . 889 c relative to a labora- tory. The speed of light is 2 . 998 × 10 8 m / s....
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Lemuel physics 2 14 - Wong Lemuel – Homework 14 – Due...

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