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physics How Tall Really Is Your Favorite Superhero? You are at the top of the Em

ID: 2112955 • Letter: P

Question

physics

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 70.0% the speed of light. You have never seen your favorite superhero in real life. Out of curiosity you calculate her height to be 1.36m. If the superhero landed next to you, how tall would she be when standing? What is the height of the 102nd floor of the Empire State Building as measured by the superhero while flying above it?

Explanation / Answer

The height of the building id H = 373 m The speed of SH is 70% of speed of light i.e. v = 0.7c 1) The measured length of SH is L' = 1.36 m The length contraction equation is L' = L%u221A[1-(v2/c2)] 1.36 m = L %u221A[1-((0.7c)2/c2)] L = 1.90438091428 m 2) The height of the building measured by SH while flying over it will not change frm the absolute value L' = L L' = 373 m 2) The height of the building measured by SH while flying over it will not change frm the absolute value L' = L L' = 373 m L' = L L' = 373 m