MisConceptual Question 26.02 The fictional rocket ship Adventure is measured to

Question

MisConceptual Question 26.02

The fictional rocket ship Adventure is measured to be 70 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 1.40-s intervals as measured by space-dock personnel.

Part A

How often does the flashlight flash relative to the captain?

Express your answer to two significant figures and include the appropriate units.

https://gyazo.com/e591573cce5223dfb6429b98c57b5858

Explanation / Answer

given,

speed = 0.5c

time with respect to space dock = 1.4 s

time with respect to space dock = time with respect to captain / sqrt(1 - (v/c)^2)

1.4 = time with respect ro captain / sqrt(1 - 0.5^2)

time with respect ro captain = 1.212 s

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