Question

A spaceprobe has an 29.0 m length when measured at rest. What length

Answer 1

Answer:

The observer sees the space-probe 9.055m long.

Explanation:

Let $L_0$ be the length of the space-probe when measured at rest, and $L$ be its length as observed by an observer moving at velocity $v$, then

$(1).\: \: L = L_0\sqrt{1-\dfrac{v^2}{c^2} }$

Now, we know that $L_0 = 29.0m$ and $v = 0.95c$, and putting these into $(1)$ we get:

$L = 29\sqrt{1-\dfrac{(0.95c)^2}{c^2} }$

$L = 29\sqrt{1-0.95^2 }$

$\boxed{L = 9.055m}$

Thus, an observer moving at 0.95c observes the space-probe to be 9.055m long.