# 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

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 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(15624)   (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"