Answer to Question #84111 in Mechanics | Relativity for Akash kumar kheti

Question

The length of a rocket is measured to be 6.0 m by an observer on Earth as it moves
with respect to the Earth at a speed of 0.8c. What is the length of the rocket as
measured by an astronaut inside the rocket?

Answer 1

l_0=l/√(1-v^2/c^2 )=6/√(1-(0.64c^2)/c^2 )=6/0.6=10 meter