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
