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?

Answer 1

Answer:

1.5 m

Explanation:

H = actual height of the superhero = ?

H₀ = height of the superhero as observed = 1.73 m

v = speed of the superhero = 0.50 c

Using the equation

$H = H_{o} \sqrt{1 - \left ( \frac{v}{c} \right )^{2}}$

Inserting the values

$H = 1.73 \sqrt{1 - \left ( \frac{0.50 c}{c} \right )^{2}}$

H = 1.5 m