Calculate the necessary speed required for an astronaut to age only 10 years during a round trip of 200 light-year journey.
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A: Question no 8
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- The spaceship Lilac, based on the Purple Planet, is 711 m long when measured at rest. When the Lilac passes Earth, observers there measure its length to be 655 m. At what speed ? is the Lilac moving with respect to Earth? Express your answer as a multiple of the speed of light ?.Spaceships A and B are traveling directly toward eachother at a speed 0.5c relative to the Earth, and each hasa headlight aimed toward the other ship. What value dotechnicians on ship B get by measuring the speed of thelight emitted by ship A’s headlight?(a) 0.5c. (b) 0.75c. (c) 1.0c. (d) 1.5cAssume the Galilean transformation equations are true. Suppose that construction crews have set up a pair of blinking lights 60 m apart to mark a construction zone along a road. A car moves along the road with a speed of 30m/s toward the lights. Let us take the road to be the Home Frame and the car to be the Other Frame. In the Home Frame, the light farther from the car (light 2) blinks 0.66 s before the other light (light 1) blinks as the car approaches. (a) What is the time interval (t'2 - t'1) between the blink events in the car's frame? (Hint: Think about the sign - should it be negative?). (b) What is the x displacement x'2 - x'1 between the events in the car frame?
- The length of a moving spaceship is 29.8 m according to an astronaut on the spaceship. If the spaceship is contracted by 16.3 cm according to an Earth observer, what is the speed of the spaceship? (answer in c, speed of light)Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 73.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.30 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's 'mass is Mearth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 × 1022 kg, and the separation of the Earth and Moon is dEM = 3.84 x 10° m. Liters water:Suppose you decide to travel to a star 85 light-years away at a speed that tells you the distance is only 25 light-years. How much is that speed?
- Spacecraft 1 passes spacecraft 2 at 0.855c relative to spacecraft 2. An astronaut on spacecraft 1 measures the length of spacecraft 2 to be 485m. Calculate the proper length of spacecraft 2.Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.867c, and the other twin travels at 0.515c. (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time? A₂-A₁ = i (b) Which twin is older?A rocket is travelling from earth through space at a speed of 2.7x10^8m/s. The pilot measures the journey to take 240 minutes. How long does mission control on Earth think the flight lasted for?
- If you use an Earth-based telescope to project a laser beam onto the Moon, you can move the spot across the Moon’s surface at a velocity greater than the speed of light. Does this violate modern relativity? (Note that light is being sent from the Earth to the Moon, not across the surface of the Moon.)Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 85.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.90 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's mass is Mearth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 x 10²² kg, and the separation of the Earth and Moon is deM = 3.84 × 10% m. water: LitersA 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