A spaceship flies past earth at a speed of 0.99c. A crew member on board the spaceship measures its length, obtaining the value 400m. What length do observers measure on earth?
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Topic: Physics Relativity
A spaceship flies past earth at a speed of 0.99c. A crew member on board the spaceship measures its length, obtaining the value 400m. What length do observers measure on earth?
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- Two rockets fly away from the Earth in opposite directions. Each rocket is moving at a speed of v = 0.83 c as seen from the Earth. a. How fast is rocket "B" moving as seen by the astronaut in rocket "A"? Express your answer as a decimal fraction of the speed of light. b. If the astronaut on rocket "A" measures a time interval of 60 minutes, how much time would they say goes by for the astronaut on rocket "B"? minutes c. Rocket "A" travels out from Earth at a speed of v = 0.83 c for a period of one year as measured on Earth, turns around, and then travels back to the Earth at the same speed for another Earth year. How much did the astronaut on the rocket age? years2. a) The average life span for a dog is 12 years. Ifa dog is placed on a space ship traveling at 0.998 c, what will be the average life span of the dog according to someone on the space ship? b) An observer on earth sees a space ship traveling at 0.999c According to the earth observer, the space ship travels 20 light years. Is the 20 light years a proper or contracted length? c) A physicist in a lab creates a new particle which travels for 20 km before decaying According to the physicist the time it takes the particle to decay is 33.5 x 10 s Is the 20 km a proper of contracted length? Is the 33.5 x 10 sa proper or dilated time?A spaceship travels at 0.818c relative to Earth. If the spaceship fires a small rocket in the forward direction, how fast (relative to the ship) must it be fired for it to travel at 0.870c relative to Earth?
- 14. An astronaut is flying in a spaceship with a speed of 0.8 c with respect to Earth. The astronaut observes an event on Earth and determines that the time interval for the event to be completed is 33 hours. a) If the astronaut had a speed of 0.93 c with respect to Earth, what would she observe the time interval to be for that same event? b) Would the astronaut measure the proper time interval or the dilated time interval? Justify your response.A spaceship moves past Earth with a speed of 0.808c. As it is passing, a person on Earth measures the spaceship's length to be 68.7 m. (a) Determine the spaceship's proper length (in m). m (b) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by a person on Earth. s (c) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by an astronaut onboard the spaceship.A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.
- a) Galactus tries to destroy the Earth by stopping the Moon in its orbit. What effect would this have on the Moon and on the Earth? b) To prevent this, Flash (sorry, wrong company) runs to the Moon at a speed of 0.998c. From his point of view, the trip takes 0.126 s. How long does it take from our point of view on Earth?Two friends, Sungyoung and Azhar are initially 10 years old. While Azhar remains on Earth, Sungyoung rides on a spaceship which travels away from Earth at a speed of 1c for 5years (as measured by Azhar), then immediately turns around and comes back at 1c. When Sungyoung returns, Azhar is 2*5 years older than when Sungyoung left. How old is Sungyoung upon his return?1. An astronaut travels to a distant star with a speed of 0.46c relative to Earth. From the astronaut's point of view, the star is 4.40 ly from Earth. On the return trip, the astronaut travels with a speed of 0.90c relative to Earth. What is the distance covered on the return trip, as measured by the astronaut? Give your answer in ly f60 ss 0 ssf60* f60 ss 0 ssf6 ssf60 ssf6Q
- A spaceship moves past Earth with a speed of 0.808c. As it is passing, a person on Earth measures the spaceship's length to be 78.7 m. HINT (a) Determine the spaceship's proper length (in m). m (b) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by a person on Earth. s (c) Determine the time (in s) required for the spaceship to pass a point on Earth as measured by an astronaut onboard the spaceship. sHow far from the earth would you be able to travel in a lifetime of 88 years if you were able to travel at a constant speed of 0.67c?A very fast-moving train car passes you, moving to the right at 0.50c. You measure its length to be 12 m. Your friend David flies past you to the right at a speed relative to you of 0.80c. How long does David measure the train car to be?