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World Science Scholars
33.4 The Pole in the Barn: Quantitative Details
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Module 33: The Pole in the Barn: Quantitative Details - Problem 1

In this problem, you’ll work out a version of the Pole in the Barn Paradox involving a car and garage. Assume a race car is heading into a garage at speed v=99101cv={99 \over 101} c. The car has length 101ft10=10.1ft{101 \,\textrm{ft} \over 10}=10.1 \,\textrm{ft} and the garage has length 101ft5=20.2ft{101 \,\textrm{ft} \over 5}=20.2 \,\textrm{ft}.

  1. 1. Question

    According to the car, what is the length of the garage, and according to the garage, what is the length of the car?

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  2. 2. Question

    According to the car, it does not fit in the garage. According to the garage, it does. A garage observer makes sense of this discrepancy by claiming that the car assesses the location of its front after it assesses the location of its rear. Calculate the time difference between these two assessments according to a garage observer.

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  3. 3. Question

    According to the garage, what is the spatial separation between where the car observer assesses the location of the front and back of the car?

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