6.9 Determine the speed of the Lorentz transformation in the x-direction for which the velocity in the frame S of a particle is u= (c//2, c//2) and the velocity in frame S' is seen as u' = (-c//2, c//2). %3D %3D
Q: 1. Consider the linear transformation with = (ct)' A(ct z = C(z - Bz) Dct) xx and y = y, = where A,…
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Q: 1. A supertrain of proper length 195 m travels at a speed of 0.92c as it passes through a tunnel…
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A: Given :- L = 35.0 m d = 8.35 m V = 2.44 × 10 8 We know C = 3 × 10 8 For part c given d = 10…
Q: A particle has a rest mass of 6.35 × 10-27 kg and a momentum of 5.39 × 10-18 kg-m/s. Determine the…
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- 1. If a subatomic particle moves close to the speed of light. Its decay would occur ___? 2. A space explorer travels between asteroids that are 100 000 m apart. His/her space probe travels with constant speed of 0.8c=2.4x108 m/s. What is the time of the trip between asteroids measured by observer on one of the asteroids? Write your answer rounded to 2 decimal places in msDoppler Effect: This problem looks at wavelength shifts instead of frequency shifts. In this problem, AX is defined as the difference between the wavelength in the observer's frame and the source frame, and you can pick 2 to be equal to the wavelength in the source frame. a. Show that, for speeds u<4. A ladder leans against a wall inside a spaceship. From the point of view of person on the ship, the base of the ladder is 2.00 m from the wall, and the top of the ladder is 5.66 m above the floor. The spaceship moves past the Earth with a speed of 0.95c in a direction parallel to the floor of the ship. Find the angle the ladder makes with the floor, as seen by an observer on Earth. f60 ssf60 ssf60 s sf60 ssforce 50 ssf60 s ssf60 ssfo2. An observer P stands on a train station platform as a high-speed train passes by at u/c = 0.8. The observer P, who measures the platform to be 60 m long, notices that the front and back ends of the train line up exactly with the ends of the platform at the same time. How long does it take the train to pass P as he stands on the platform, as measured by his watch?Chapter 37, Problem 015 The center of our Milky Way galaxy is about 24000 ly away. (a) To eight significant figures, at what constant speed parameter would you need to travel exactly 24000 ly (measured in the Galaxy frame) in exactly 27 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? (a) Number Units (b) Number UnitsA rocket with a proper length of 1500 m moves at a speed of 0.87c directly away from an observer on earth. an astronaut standing at the centre of the rocket fires two electrons at a speed 0.99c through a vacuum pipe. One electron is aimed toward the centre of the rocket, the other toward the rear. a. In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b. In the Earth observer's frame, calculate the length of the rocket, and the speed of the two electrons moving towards the front and the rear of the rocket.A frame B shown below in Figure 1, is rotated 90° about the z-axis, then translated 3 and 5 units relative to the n- and o-axis respectively, then rotated another 90° about the n-axis, and finally, 90° about the y-axis. Find the new location and orientation of the frame. (1,1,2) {B} F y a Figure 1 11A.8. Show with the aid of the Lorentz transformation (A.28) that the quantity c²₁² — x² - y² – z² is an invariant, namely c²1² − (.x² + ¸‚µ‚² + =²) = (²² 1¹² — (x²² + 1,²² 1₁² +=²²)2. A ladder 5.50 m long leans against a wall inside a spaceship. From the point of view of a person on the ship, the top of the ladder is 4.61 m above the floor. The spaceship moves past the Earth with a speed of 0.80c in a direction parallel to the floor of the ship. What is the length of the ladder as seen by an observer on Earth?