A car traveling at 36.6 m/s takes 38.0 minutes to travel a certain distance acco
ID: 1261623 • Letter: A
Question
A car traveling at 36.6 m/s takes 38.0 minutes to travel a certain distance according to the driver's clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful:
I'm looking for the tiny value associated with 38 mins here.....I'm talking e-11 values. I keep trying to use the formula but end up with an incorrect answer every time.
A car traveling at 36.6 m/s takes 38.0 minutes to travel a certain distance according to the driver's clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful: Earth? Hint: The following approximation is helpful: [1 - x)^1/2 ~ 1 + 1/2x for xExplanation / Answer
Here ,
as t = 38 min
Now , for time dilation ,
t = to*sqrt(1 - (v/c)^2)
38 = to*(1 - (36.6/3*10^8)^2)
solving for to
to = 38 + 5.66 *10^13 min
the time taken is 38 + 5.66 *10^13 min
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