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

a) t₀ = 1.73205 s

b) 1.0 C

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 - (V^2)/(C^2)}}`

`t_0 = t \sqrt{1 - (V^2)/(C^2)}` time measured by captain

⇒
`t_0 = 2.0 \sqrt{1 - (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"