person puts in a 9.1 hr shift while travelling on a spaceship. An observer on Earth determines that the time spent was actually 11.8 hr. At what percent of the speed of light was the spaceship mo
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A person puts in a 9.1 hr shift while travelling on a spaceship. An observer on Earth determines that the time spent was actually 11.8 hr. At what percent of the
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- For an astronaut traveling to a star 10 lightyears away at v=0.99c and returning, spending negligible amount of time at the destination, describe the journey as the astronaut would observe it. In particular, describe what the astronaut would observe as happening on Earth during the journeyThe distance from earth to the center of our galaxy is about 33,000 ly (1 ly = 1 light year = 9.47 x 1015 m), as measured by an earth- based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 x 107 s.) Number i d Modic UnitsA car traveling at 35.0 m/s takes 26.0 minutes to travel a certain distance according to the driver’s clock in the car. How long does the trip take according to an observer at rest on Earth? Hint: The following approximation is helpful:
- You are in a rocket moving away from Earth at one-third the speed of light relative to Earth. A friend is on Earth, and an astronaut in another rocket is moving toward Earth at one-third the speed of light (in the Earth reference frame), on a path collinear with your path. If each of you records the duration of your journey in your three respective reference frames, which of you records the proper time interval?The distance from earth to the center of our galaxy is about 24,000 ly (1 ly = 1 light year = 9.47 x 1015 m), as measured by an earth- based observer. A spaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 x 107 s.) Number UnitsA spaceship travels from the Earth to a star 13 light years away (as measured in the Earth’s frame). An astronaut on the ship says that the trip takes 16 years. What is the speed of the ship relative to the earth in m/s?
- A spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the clock on the ship advances by 1.00 s as measured by the space travelers aboard the ship, how long did that advance take as measured by the observer on Earth? O 1.15 s O 1.25 s O 3.6 s O 2.6 s O 0.96 sA newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI unitsPlaying a high-stakes game of basketball with a series of cartoon characters. The court has a total length of 28 meters measured in its own rest frame. The Street Sprinter, an animated lion on your team, can run at a maximum speed of ½ c. As measured in the rest frame of the court, a player on the opposing side throws a ball at ¼c from half court. At the same time, the Street Sprinter starts running at full speed from the full length of the court away. Call this time t=0. Draw a Space-Time diagram from the rest frame of the court with the Street Sprinter's initial position as the origin. Mark the following events on it, and find their spacetime coordinates (t,x) in the frame of the court and (t',x') in the frame of the Street Sprinter: A: The ball is thrown from half-court. B: The Street Sprinter takes off from the other side of the court C: The ball reaches the net D: The Street Sprinter reaches the net e) From the perspective of the referee in the court rest frame, does the ball…