Answer to Question #294236 in Mechanics | Relativity for ree

Question

2. Compute the contracted length of an

object whose initial length 30 m and travel with a velocity 0.65c?

Answer 1

Solution

initial length L=30 m

velocity v=0.65c

contracted length of an

object

$L'=L\sqrt{1-\frac{v^2}{c^2}}$

Putting all values

$L'=30\times\sqrt{1-\frac{(0.65c)^2}{c^2}}\\=30\times\sqrt{0.5775}\\=22.8m$