You are at the top of the Empire State Building on the 102nd floor, which is loc

Question

You are at the top of the Empire State Building on the 102nd floor, which is located 373 m above the ground, when your favorite superhero flies over the building parallel to the ground at 50.0 % the speed of light. You have never seen your favorite superhero in real life. Out of curiosity you calculate her height to be 1.73 m . If the superhero landed next to you, how tall would she be when standing?
2.00
1.73
1.41
1.50

What is the height of the 102nd floor of the Empire State Building as measured by the superhero while flying above it?
373
323
264
280

Explanation / Answer

Part A)

L = L'(1 - v2/c2)

1.73 = L'(1 - .52)

L' = 2.0 m tall

Part B)

The height would not appear changed. Only the distance in the direction of motion appears changed. The superhero is flying in the x direction and the height of the building is in the y direction. The height would still appear to be 373 m above the ground.

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