GR tell us that clocks run slower in a gravitational field. If you take two clocks, one on the surface of Earth, and one orbiting 100km above, and check what time they say a year later what would you see?
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- Two identically constructed clocks are synchronized. One is put into orbit around Earth, and the other remains on Earth. (a) Which clock runs more slowly? O the clock in orbit O the clock on Earth (b) When the moving clock returns to Earth, will the two clocks still be synchronized? O Yes No Discuss from the standpoints of both special and general relativity.Suppose you are planning a trip in which a spacecraft is to travel at a constant velocity for exactly six months, as measured by a clock on board the spacecraft, and then return home at the same speed. Upon return, the people on earth will have advanced exactly 76 years into the future. According to special relativity, how fast must you travel? (Give your answer with six significant digits as a multiple of c.)The center of our Milky Way galaxy is about 23000 ly away. (a) To eight significant figures, at what constant speed parameter would you need to travel exactly 23000 ly (measured in the Galaxy frame) in exactly 25 y (measured in your frame)? (b) Measured in your frame and in lightyears, what length of the Galaxy would pass by you during the trip?
- If you were on on a space ship traveling at0.60c away from a star, at what speed would starlight pass you? Explain you response?A millonairess was told in 1995 that she had exactly 15 years to live. However if she travels awayfrom the Earth at 0.8c and then returns at the same speed, the last New Year's day the doctors expecther to celebrate is ___________ This is about special relativity : time dilation, please include step by step so i could learn from it.A clock is placed in a satellite orbits the Earth with a period of 117 minutes. a) By what time interval will this clock differ from an identical clock on Earth after 2 years? b) If the two clocks differ by 2 s, how much time will have passed on Earth? (Assume special relativity applies, and neglect general relativity.)
- Your clocks and calendars are synchronized with the clocks and calendars in a star system exactly 10 ly from earth that is at rest relative to the earth. You receive a TV transmission from the star system that shows a date and time display. The date it shows is June 17, 2050. When you glance over at your own wall calendar, what date does it show?A day on the Earth has 24 hours. How fast must a spacecraft travel so that the spacecraft clocks tick through 23 hours (on spacecraft clocks) while the earth clocks tick through 24 hours from the viewpoint of an observer on the Earth?A 50-year-old astronaut goes off on a long-term mission in a spacecraft that travels at speeds close to that of light. The mission lasts exactly 200 years as measured on Earth. Biologically speaking, at the end of the mission, the astronaut's age would be exactly 25 years none of the above exactly 30 years O less than 50 years the same as before
- Suppose a spaceship is approaching the Earth at 0.125c and a message capsule is sent toward it at 0.125c relative to the Earth What is the ratio of the capsule’s speed, as measured on the spaceship, to the speed of light?Question 8 The star Betelgeuse is about 520 light-years away, If the speed of light were twice its present value, how far away would Betelgeuse be? O 2080 ly O 560 ly O 260 ly O 1040 ly O 130 ly Question 9 Which of the following is the reason for an ocean of water under Europa's frozen surface? O Europa had many icy comets crash into the surface bring water to the moon and melting the water as it fell into the core. O Furopa formed with an unusual amount of liquid water in the core and the coldness of space wasn't able to freeze it. O upiter's strong gravitational force is causing Europa to flex in its orbit, leading to an increase in internal heating. O Europa's close proximity to Jupiter puts it into a gravitational tug-of-war with Jupiter's targest moon Ganymede. Question 10 How was Neptune discovered? O When a large comet broke up and hit the planet, the explosion was seen from Earth-based telescopes O From a large sky survey that identified the "blue-green" planet. O By watching…You and vouur archenemy pass each other in rockets that are each traveling 0.2c relative to the other. You observe that your rocket (which you have measured to be 281 m Jong ten times as long as your archenemy's spaceship. How long is your rocket in your archenemy's frame? How long is your archenemy's rocket in their frame?