How Tall Really Is Your Favorite Superhero? You are at the top of the Empire Sta

Question

How Tall Really Is Your Favorite Superhero?
You are at the top of the Empire State Building on the 102nd floor, which is located 373m above the ground, when your favorite superhero flies over the building parallel to the ground at 50.0% the speed of light.
Part A
You have never seen your favorite superhero in real life. Out of curiosity you calculate her height to be 1.65m . If the superhero landed next to you, how tall would she be when standing?

A 1.90m
B 1.65m
C 1.34m
D 1.43m

Part B
What is the height of the 102nd floor of the Empire State Building as measured by the superhero while flying above it?

A 373m
B 323m
C 264m
D 280m

Explanation / Answer

a).length contraction is given by L= Lo*sqrt(1-(v^2/c^2)) 1.65=Lo*sqrt(3/4) Lo=1.90 m thus A b).as hero is moving parallel to ground he will see the height of building in perpendicular way thus no relative length contraction he will observe the building will be of same height for hero which is 373 m thus A

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