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

  • Thread starter Thread starter jlk
  • Start date Start date
  • Tags Tags
    Relativity
AI Thread Summary
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.
jlk
Messages
5
Reaction score
0

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

 
Physics news on Phys.org
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.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top