tchjb3443
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To see why no one noticed time dilation until the twentieth century, consider the time dilation of a clock in an automobile moving past you at 30m / s (about 67mph for reference). What happens when you try to compute gamma for this problem? Write out the steps you take.

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oladayoademosu

When we try to compute gamma, for this problem, the value of gamma is 1

To answer the question, we need to know what time dilation is.

What is time dilation?

Time dilation is a phenomenon in special relativity in which there is an elongation of time due to the motion of an object.

Now, the time is given by t = γt₀ where

  • γ = gamma = 1/√[1 - (v/c)²] where
  • v = speed of object  
  • c = speed of light and
  • t₀ = proper time

The value of gamma

Since we need to compute gamma when the speed of the automobile moving past you is 30 m/s.

Given that

  • v = 30 m/s and
  • c = 3 × 10⁸ m/s

Substiting these into γ, we have

γ = 1/√[1 - (v/c)²]

γ = 1/√[1 - (30 m/s/3 × 10⁸ m/s)²]

γ = 1/√[1 - (1/1 × 10⁷)²]

γ = 1/√[1 - (1 × 10⁻⁷)²]

γ = 1/√[1 - (1 × 10⁻¹⁴)]

γ = 1/√[1 - 0.00000000000001]

γ = 1/√0.99999999999999

γ = 1/1

γ = 1

So, when we try to compute gamma, the value of gamma is 1

Learn more about time dilation here:

https://brainly.com/question/13264415

#SPJ1

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