posted by ronnette .
1) Let's continue to investigate your space vacation from last week. Your spaceship, which has a proper length of 300 m, passes near a space platform while you are moving at a relative speed of 86% the speed of light (so v=0.86*c). What is the length of the spaceship when measured by someone on the space platform?
Equation for length contraction
L = L' * √ (1 - v2/c2)
L = The length of the spaceship as seen by the observer
L' = The proper length of the spaceship
v = The velocity of the spaceship
c = The speed of light.
You have already answered the question. Use the length contraction formula.
L = L' * ã (1 - v^2/c^2)
= L'* sqrt(0.2604)
= 0.51 L'