by BlastRoom
Practice deciding which dimension contracts and calculating relativistic contracted length.
#physics

20 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
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The class blasts through walls together.
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More correct answers pulls the rope your way.
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Use the two-panel figure of a rocket moving to the right at 0.60c. Which statement matches the lab measurement?

Use the figure of a tall antenna moving horizontally at 0.80c. Which dimension is unchanged in the lab frame?

Use the figure of a cargo crate moving upward at 0.60c. Which statement correctly describes the measured dimensions?

Use the spacecraft figure for motion at 0.90c. What is the best description of the lab-frame dimensions?

Use the figure of a train moving left at 0.80c. Which student claim is supported by the dimensions shown?

Use the square plate figure for downward motion at 0.90c. What correction should be made to the claim that both sides contract?

A probe's proper length is 45 m. It passes lengthwise at 0.80c, where gamma = 1.67. What length does the lab measure using L = L_proper/gamma?
A railcar is 12.0 m long in its own rest frame. It moves lengthwise at 0.60c, where gamma = 1.25. What length is measured from the platform?
A rod has proper length 100 m and moves lengthwise at 0.90c. Using gamma = 2.29, what contracted length does an observer measure?
A cable is 250 m long in its rest frame and moves parallel to its length at 0.80c. Use gamma = 1.67. What length is measured in the lab?
A spacecraft cabin has proper length 30.0 m. It flies lengthwise past Earth at 0.60c, where gamma = 1.25. What cabin length do Earth observers measure?
A marker strip has proper length 5.0 m and moves along its length at 0.90c. Use gamma = 2.29. What contracted length is measured?
A 24 m train car is at rest relative to its passengers and moves past a platform at 0.60c. Who measures the train car's proper length?
Two mirrors fixed 18 m apart inside a spacecraft pass Earth at 0.80c. Which measurement is the proper length of the mirror separation?
A tunnel entrance and exit are fixed in a mountain, and a spacecraft crosses the tunnel at 0.80c. Who measures the tunnel's proper length?
A 2.0 m ruler is bolted to a lab bench while a muon passes parallel to it at 0.90c. Who measures the ruler's proper length?
Muons created high in the atmosphere reach the ground more often than their short lifetime seems to allow. In the muon's frame, what explains this?
Two identical rockets pass each other at constant velocity. According to special relativity, what does each crew measure?
A square sign moves horizontally past a lab at relativistic speed. Which lab measurement is consistent with length contraction?
A student says length contraction is simply what a camera photographs as a fast rod flies by. What is the better physics statement?
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Kinematics Review
40 questions