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5:49 webassign.net remaining Tor eacn question part ony cnanges ir you su Assign

ID: 1787470 • Letter: 5

Question

5:49 webassign.net remaining Tor eacn question part ony cnanges ir you su Assignment Scoring pmit or cnange tne answer Your last submission is used for your score The due date for this assignment is past. Your work can be viewed below, but no changes can be made Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key Automatic extensions are not granted if you have viewed the answer key Request Extension View Key 1. 12 points SerCP10 26 P.001 If astronauts could travel at v. 0.91%, we on Earth would say it takes (4.20/0.914) -4.60 years to reach Alpha Centauri, 4.20 light-years away. The astronauts disagree My Notes Ask Your (a) How much time passes on the astronauts' clocks? (No Response) years (b) What is the distance to Alpha Centauri as measured by the astronauts? (No Response) light-years Need Help? ReadIt

Explanation / Answer

Given,

v = 0.914 c ;

a)We know that

gamma = 1/sqrt(1 - v^2/c^2)

gamma = 1/sqrt(1 - 0.914^2c^2/c^2) = 2.465

t' = t/gamma = 4.6/2.465 = 1.866

Hence, t' = 1.866 years

b)d' = d/gamma

d' = 4.2/2.465 = 1.704 ly

Hence, d' = 1.704 ly

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