Speical relativity problem: How Tall Really Is Your Favorite Superhero?

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The discussion revolves around a physics problem involving special relativity, specifically measuring the height of a superhero flying at 70% the speed of light. The key formula used is L = L0 square root of (1 - v²/c²), where L is the observed length, L0 is the proper length, v is the velocity, and c is the speed of light. The problem requires calculating the height of the superhero as perceived from the Empire State Building and how that height changes due to relativistic effects. Participants discuss starting points for solving the problem and clarify the meanings of the variables in the equation. Understanding these concepts is crucial for accurately determining the superhero’s height in this scenario.
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Homework Statement



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 1.43m . 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?


I'm not sure how to start the problem, but i do know you will have to use that formula.

Homework Equations



L= L0 square root of (1- v2/c2)

The Attempt at a Solution

 
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jlk said:

Homework Statement



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 1.43m . 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?


I'm not sure how to start the problem, but i do know you will have to use that formula.

Homework Equations



L= L0 square root of (1- v2/c2)
Can you start by identifying what each of the variables in the equation are and what they mean?
 
i figure it out :)
thanks though.
 
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