Q2: a- What are the basic postulates of special relativistic theory? b- The period of a pendulum is measured to be 4.0 se in the rest frame of the pendulum. What is the period of the pendulum when measured by an observer moving at half of light speed with respect to the pendulum?
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Q: relativistic momentum
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- A tau particle has a rest mass of 3.18x10-"kg. Suppose a tau particle is traveling at 1.25 x10 " in the lab's inertial frame. a. What is y, in the lab's frame? b. What is the magnitude of the momentum of the tau particle in the lab's frame?2. Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station at a constant speed of 2.6 x 108 m/s with respect to the I.S.S. When an observer on the I.S.S. measures the moving vehicle, her measurement of the space vehicle length is 25.0 m. a. Determine the relativistic mass of the space vehicle. b. Determine the length of the space vehicle as measured by an astronaut on the space vehicle.Particles accelerators such as the Large Hadron Collider (LHC) can accelerate particles up to tremendous energies. Suppose the LHC accelerates alpha particles (a.k.a. helium nuclei with a charge of +2e and a mass of 6.645 x 10-27 kg) with a kinetic energy of 7.5 TeV*, what would the speed of one particle be if relativistic effects** are ignored? Give your answer in units of Gm/s. *T as in Tera, for 1012. "eV" stands for "electron volt," which is a non-Sl unit of energy equal to what one electron would gain after travelling through 1V. 1eV = 1.602 x 10-19 J. **Special relativity is necessary to correctly account for the limiting speed of light, which is about 3 x 10° m/s. Note that in ignoring this effect and applying Newtonian mechanics (what you learned in Phys1210 or equivalent), you'll be getting a speed way above 0.3 Gm/s. That's just how insanely energetic the LHC is.
- 1. Two cars are traveling at constant speed along a road in the same direction. Car A moves at 60 km/h and car B moves at 40 km/h, each measured relative to an observer on the ground. What is the speed of car A relative to car B? 2. A supersonic plane moves away from you, and in the +x direction, at a speed of 1000 m/s relative to you. A second plane, traveling in the same direction and ahead of the first plane, moves away from you, and away from the first plane, at a speed of 500 m/s relative to the first plane. How fast is the second plane moving relative to you? 3. Astronauts in a spaceship traveling at v = 0.6c relative to Earth sign off from space control, saying that they are going to nap for 1.00 h and then call back. How long does their nap last as measured on Earth? 4. A stick that has a proper length of 1 m moves in a direction parallel to its length with speed v relative to you. The length of the stick as measured by you is 0.914 m. What is the speed v? T 5. Muons are…You and Maria each own identical spaceships. As you fly past Maria, you measure her ship to be 90 m long and your own ship to be 100 m long.a. How long does Maria measure your ship to be?b. How fast is Maria moving relative to you?B1
- Lee and Leigh are twins. At their first birthday party, Lee is placed on a spaceship that travels away from the earth and back at a steady 0.866c. The spaceship eventually returns, landing in the swimming pool at Leigh’s eleventh birthday party. When Lee emerges from the ship, it is discovered thatA. He is still only 1 year old. B. He is 6 years old.C. He is also 11 years old. D. He is 21 years old.An electron moves in a detector with a relativistic energy of 24 MeV. The electron takes 203.6 s to pass through the detector (measured in the detector frame of reference). In which frame of reference do we measure the proper time? A) The electron frame of reference B) None of these answers C) The detector's repository D) Always in the teacher's repositoryStarship Enterprise in "Star Trek" has a length of 288.646 m. What is it's relativistic length when it moves with speed of 0.7c in the direction parallel to its length? -210 m ~400 m
- 4. A stick that has a proper length of 1 m moves in a direction along its length with speed V relative to you. The length of the stick as measured by you is 0.914 m. What is the speed V? c= speed of light in vacuum. 0.406c 0.821c C 2.426cWhy do we not observe relativistic effects in our daily lives? O Because motion is relative. O Because you can't go back in time. Because the math is too hard. O We do observe relativistic effects in our daily lives. This is why time sometimes appears to pass more quickly than usual. O Because relativity only effects particles such as electrons & protons. O Because the speeds we move at are much less than the speed of light.An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator, collides with and sticks to an identical particle initially at rest. What is the speed of the combined particles? CHOICES: a. 0.300 c b. 0.400 c c. 0.500 c d. 0.600 c