(a) What is the speed (in m/s) of spaceship B relative to spaceship A? (Enter your answer to at least three significant figures.) ?m/s (b) What is the length (in m) of spaceship A as measured by astronauts on spaceship B? ?m
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- Plz answer question 5 onlyParticle-X has a speed of 0.730 c and a momentum of 6.240×10-19 kgm/s. What is the mass of the particle? Hints: The classical momentum of an object is the product of its mass and its velocity. How does the relativistic momentum look like compared to the classical momentum? What is the rest energy of the particle? Hint: This is THE very famous relationship between mass and energy attributed to Einstein. What is the kinetic energy of the particle? What is the total energy of the particle?A spaceship moves past Earth with a speed of 0.908c. As it is passing, a person on Earth measures the spaceship's length to be 74.2 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. s
- 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? yearsTwo identical spaceships with proper lengths of 175 m are launched from Earth. Spaceship A is launched in one direction at 0.500c and spaceship B is launched in the opposite direction at 0.750c. (a) What is the speed of spaceship B relative to spaceship A? (b) What is the length of spaceship A as measured by astronauts on spaceship B ?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?
- 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 0.905c, and the other twin travels at 0.407c. (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 = (b) Which twin is older?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.If a m = 81.1 kg person were traveling at v = 0.980c, where c is the speed of light, what would be the ratio of the person's relativistic kinetic energy to the person's classical kinetic energy? kinetic energy ratio: What is the ratio of the person's relativistic momentum to the person's classical momentum? momentum ratio:
- A rocket travels along a line from the Sun to Saturn at a constant speed of 0.862c relative to the Sun. The distance from the Sun to Saturn is 1.43 x 1012 m, as measured by someone at rest with respect to the Sun. How long does the journey take (in minutes) as measured by an astronaut on the rocket? (Use c = 2.9979 × 108 m/s) minA particle has a lifetime, as measured in its own reference frame, of 2.86 µs. It propagates at a speed of 0.933c. How far does it go before disintegrating? Express your answer in meters and keep three significant digits.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?