Question

(25%) Problem 2:   A spaceship, 215 m long as seen on board, moves relative to the Earth at 0.815c.

What is its length, in meters, as measured by an Earth-bound observer?

Answer 1

Let the length of the spaceship measured by an Earth-bound observer is L.

Let the relativistic factor is n.

We know the relativistic factor

  

  

Now given that the initial length of the spaceship X=215 m.

We know

  

  

The length of the spaceship measured by an Earth-bound observer is 124.5841056 m or 124.6 m approx.