Question B3 (a) Describe a thought experiment to demonstrate that events measured to be simultaneous by an observer in one inertial frame need not be simultaneous in a different inertial frame.
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![Question B3
(a)
Describe a thought experiment to demonstrate that events measured to be simultaneous by an
observer in one inertial frame need not be simultaneous in a different inertial frame.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6780fa13-490c-4f7c-8b44-ebe0b55f1e7e%2F0f45eb82-4483-4753-ae1a-2ce3a9fd2dad%2Fgf3bdq_processed.png&w=3840&q=75)
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- The origins of two frames coincide at t = t' = 0 and the relative speed is 0.968c. Two micrometeorites collide at coordinates x = 139 km and t = 234 μs according to an observer in frame S. What are the (a) spatial and (b) temporal coordinate of the collision according to an observer in frame S'?cordinates in MWhich of the following inertial reference frames are proper frames for the two events listed? Choose all that apply. ORED FRAME: A particle traveling at a constant velocity decayed in 3.8 μs. Event A was when. came into being (when it was 'born') & event B was when it decayed (when it 'died'). □ ORANGE FRAME: Event C happened at (5 m, -9 m, -8 m) and event D happened at (-5 m, -0.9 m, -8 m). O YELLOW FRAME: The distance between where event E occurred and where event F occurred was 4 m. □ GREEN FRAME: A rocket was traveling at a constant velocity when it passed through a stationary tunnel. Event G was the front of the rocket entering the tunnel and event H was the the front of the rocket leaving the tunnel. BLUE FRAME: A stationary rocket was engulfed by a hollow cylinder that was moving at a constant velocity. Event J was the front of the rocket entering the cylinder and event K was the the front of the rocket leaving the cylinder.
- An observer moving at a speed of 0.995c relative to a rod (see figure below) measures its length to be x = 2.20 m and sees its length to be oriented at 0 = 33.0° with respect to its direction of motion. x Ꮎ Motion of observer (a) What is the proper length of the rod? m (b) What is the orientation angle in a reference frame moving with the rod? OThe origins of two frames coincide at t = ť = 0 and the relative speed is 0.976c. Two micrometeorites collide at coordinates x = 85.2 km and t= 260 us according to an observer in frame S. What are the (a) spatial and (b) temporal coordinate of the collision according to an observer in frame 5? (a) Number i Units (b) Number i Unitsa) How fast must an object travel for its total energy to be 1% more than its rest energy? b) How fast must an object travel for its total energy to be 99% more than its rest energy?
- 1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?In frame S, event B occurs 2 ms after event A and at Dx = 1.5 km from event A. (a) How fast must an observer be moving along the +x axis so that events A and B occur simultaneously? (b) Is it possible for event B to precede event A for some observer?(c) Draw a spacetime diagram that illustrates your answers to (a) and (b). (d) Compute the spacetime interval and proper distance between the events.a) Find the value of y for the following situation. An astronaut measures the length of his spaceship to be 100 m, while an earthbound observer measures it to be 25 m. b) What is the speed of the spaceship relative to Earth?
- Suppose 5 rocketships are all traveling in â in some frame S. The speeds are: St (min) 100 B 0 0.25 0.5 0.75 0.99 7 1 How much time passes on the clocks inside each rocketship if 100 minutes elapse on the stationary rocketship?The space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?An observer measures a spacecraft’s length to be exactly half of its rest length. a) What is the speed of the ship relative to the observer’s frame of reference? b) By what factor do the spaceship’s clocks run slow relative to clocks in the observer’s frame?