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$\bullet$ You measure the length of a futuristic car to be 3.60 $\mathrm{m}$ whenthe car is at rest relative to you. If you measure the length ofthe car as it zooms past you at a speed of $0.900 c,$ what resultdo you get?
$$1.569 \mathrm{m}$$
Physics 101 Mechanics
Chapter 27
Relativity
Gravitation
Rutgers, The State University of New Jersey
University of Michigan - Ann Arbor
Hope College
McMaster University
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all right, so this is a simple application of length contraction. What length contraction says is that if I have a some object with length L not as measured when it's arrest, then if its length is re measured in motion, it'll be contracted by this factor, one over a gamma. So to find the new length, it's simply a matter of plugging in. Our values were given that the length arrest is 3.6 meters and the velocity 0.9 see. So this is just one minus here, 0.9 squared, and this comes out to 1.57 meters. It's the new length of the car.
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