At a rocket speed V = 0.5 s relative to the Earth, its length for an observer on the rocket will be equal

At a rocket speed V = 0.5 s relative to the Earth, its length for an observer on the rocket will be equal to L = 200 m. For an observer on Earth, its length is?

Data: V (speed of a given rocket relative to the Earth) = 0.5C; L (the length of the rocket for an observer on it) = 200 m.

To determine the length of the rocket for an observer on Earth, we will apply the formula for calculating the relativistic length contraction: l = l0 * √ (1 – (V ^ 2 / C ^ 2)).

Calculation: l = 200 * √ (1 – ((0.5C) ^ 2 / C ^ 2)) = 173.2 m.

Answer: To an observer on Earth it will seem that the rocket has a length of 173.2 m.