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1. Suppose a meter stick (length = 1 m) goes flying past you at velocity =...

1. Suppose a meter stick (length = 1 m) goes flying past you at velocity = 0.5c . As the stick goes by you measure its length. What length would you measure? (5 pts)

2. Suppose the Earth collapsed down to a black hole (this can’t really happen). What would be the radius of the black hole in meters? Newton’s gravitational constant G = 6.7 × 10-11 in metric units. The mass of the earth is 6.0 ×1024 kg. (5 pts)

3. An astronaut travels to a planet 10 light years away and then returns. The rocket has a velocity of 0.999c. One light-year = 9.5 × 1015 m. a. For an observer on Earth, how many years are required for the round trip? Two significant digits in the answer is fine. (5 pts) b. For an astronaut on the rocket, how many days are required for the round trip?

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