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Practice Problems

Length Contraction:


Question 1:

A space ship with a length of 100 meters would have what length if it were traveling at 0.67 c?

Question 2:

A space ship travels to Alpha Centuri which is about 4 light years away from earth. How far does this distance appear to you if you are on a space ship traveling at 0.99 c?

Question 3:

How long would it take according to your watch to travel to Alpha Centuri at 0.99 c? (See Question 2)

Question 4:

A space ship is observed to be 45 meters long while at rest on the earth. As it passes the earth, it appears to be 8 meters long. How fast is the ship traveling?

Question 5:

What would be the length of the 45 meter space ship in Question 4 if it were to travel at c?