Question

Какой промежуток времени пройдет на звездолете, движущемся относительно Земли со скоростью, равной 0,8с, за 36 земных лет?

Answer 1

Ответ:

Объяснение:

Дано:

t₀ = 36 лет

V = 0,8c

_________

t - ?

t = t₀·√ (1 - (V/c)²)

t = 36·√ (1 - (0,8c/c)²) = 36·√ (1 - 0,64) =

= 36·√0,36) = 36·0,6 =  21,6 лет

Answer 2

Time Dilation and Travel Time Calculation

When calculating the time interval experienced on a starship traveling at a speed of 0.8c (80% of the speed of light) relative to Earth for 36 Earth years, we can apply the concept of time dilation from special relativity.

According to the time dilation formula in special relativity, the time experienced on the starship (T) can be calculated using the following formula:

T = t / sqrt(1 - (v^2/c^2))

Where: - T = time experienced on the starship - t = time interval on Earth - v = velocity of the starship - c = speed of light in a vacuum

Given: - t = 36 Earth years - v = 0.8c

We can calculate the time experienced on the starship using the provided values.

Calculation

Using the time dilation formula: T = 36 / sqrt(1 - (0.8^2))

Result

The time interval experienced on the starship, moving at 0.8c relative to Earth for 36 Earth years, can be calculated using the above formula to find the time dilation effect.

Let's calculate the result.