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white (rw22679) – Hw09 – Ross – (10219) 1 This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points How fast must a meter stick be moving if its length is observed to shrink to 0 . 26 m? Correct answer: 0 . 965609 c. Explanation: Given : L p = 1 m and L = 0 . 26 m . The contracted length is L = L p radicalbigg 1 - parenleftBig v c parenrightBig 2 L 2 L 2 p = 1 - parenleftBig v c parenrightBig 2 v = c radicalBigg 1 - parenleftbigg L L p parenrightbigg 2 = c radicalBigg 1 - parenleftbigg 0 . 26 m 1 m parenrightbigg 2 = 0 . 965609 c . 002 (part 1 of 3) 10.0 points A spaceship travels with a speed of 0 . 6 c as it passes by the Earth on its way to a distant star, as shown in the diagram below. The pilot of the spaceship measures the length of the moving ship as 40 m. 0 . 6 c Earth Determine its length as measured by a per- son on Earth. Correct answer: 32 m. Explanation: Let : L 0 = 40 m and v = 0 . 6 c . Applying length contraction, L = L 0 γ = L 0 radicalBigg 1 - v 2 c 2 = (40 m) radicalbigg 1 - (0 . 6 c ) 2 c 2 = 32 m . 003 (part 2 of 3) 10.0 points The pilot of the spaceship observes that the spaceship travels for 6 years. Determine how much time has passed ac- cording to a person on Earth. Correct answer: 7 . 5 years. Explanation: Δ T = Δ T 0 γ = 6 years 0 . 8 = 7 . 5 years .
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