Question

The fictional rocket ship Adventure is measured to be 65 m long by the ship's captain inside the rocket.When the rocket moves past a space dock at 0.5c. As rocket ship Adventure passes by the space dock, the ship's captain flashes a flashlight at 2.00-s intervals as measured by space-dock personnel. Part A How often does the flashlight flash relative to the captain

Answer 1

Answer:

a) t₀ =  1.73205 s

b) 1.0 C

Step-by-step explanation:

(A)

The time dilation (t) observed by an observer at rest relative to the time (t₀) measured by observer in motion is;

$t = \frac{t_0}{\sqrt{1 - \frac{V^2}{C^2}}}$

$t_0 = t \sqrt{1 - \frac{V^2}{C^2}}$ time measured by captain

⇒ $t_0 = 2.0 \sqrt{1 - \frac{0.5^2C^2}{C^2}}$             V = 0.5 c

⇒ t₀ =  1.73205 s

(B)

Speed of the light never exceeds by its real value. The speed of the light in any frame of reference is constant.

∵ It will be "1.0C" or just "C"