You are at the top of the Empire State Building on the 102ndfloor, which is loca

Question

You are at the top of the Empire State Building on the 102ndfloor, which is located 373 m above the ground, when yourfavorite superhero flies over the building parallel to the groundat 60.0 % the speed of light.

Question 1:

You have never seen your favorite superheroin real life. Out of curiosity you calculate her height to be1.76 m. If the superhero landed next to you, how tall wouldshe be when standing?

choose one of the following:
1) 2.20 2) 1.76   3) 1.39   4) 1.41m

Qustion 2:

What is the height of the 102nd floor of theEmpire State Building as measured by the superhero while flyingabove it?

choose one of the following:

1) 373m 2) 298m   3)236m   4) 239m

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' = 1.5 m

The length contraction equation is

L' = L?[1-(v2/c2)]

1.5 m = L ?[1-((0.7c)2/c2)]

L = 2.10 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

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