SOLUTION: Albert Einstein in his theory of relativity showed that if a person travels at nearly the speed of light, then time slows down significantly. Suppose that there are twins; one rema

Question 429660: Albert Einstein in his theory of relativity showed that if a person travels at nearly the speed of light, then time slows down significantly. Suppose that there are twins; one remains on Earth and the other leaves in a very fast spaceship having velocity v. If the twin on Earth ages T0 years, then according to Einstein the twin in the spaceship ages T years, where
T(v) = T�0 sqrt 1-(v/c) squared
In this formula c represents the speed of light, which is 186,000 miles per second.
(a) Evaluate T when v = 0.8c (eight-tenths the speed of light) and T�0 = 10 years.
(Hint: Simplify without using 186,000 miles per second.)
(b) Interpret your result.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Albert Einstein in his theory of relativity showed that if a person travels at
nearly the speed of light, then time slows down significantly.
Suppose that there are twins; one remains on Earth and the other leaves in a very fast spaceship having velocity v.
If the twin on Earth ages T0 years, then according to Einstein the twin in the spaceship ages T years, where
T(v) = T�0 sqrt 1-(v/c) squared
T(v) = T-0 *
In this formula c represents the speed of light, which is 186,000 miles per second.
(a) Evaluate T when v = 0.8c (eight-tenths the speed of light) and T�0 = 10 years.
We can just replace v/c with .8, so we have
T(v) = 10 *
T(v) = 10 *
T(v) = 10 *
T(v) = 10 * .6
T(v) = 6 yrs
:
(b) Interpret your result.
"The traveling twin aged only 6 yr while the stay-home twin aged 10 yrs, but
this would only be apparent when the traveling twin returned home"
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