The origins of two frames coincide at t = t' = 0 and the relative speed is 0.968c. Two micrometeorites collide at coordinates x = 98.2 km and t = 239 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 S'? (a) Number Units
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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'?Which 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? O
- The 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 UnitsPlease type instead of hand writting1. 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.System S' has a velocity u = +0.33c relative to system S, as shown in the figure. The clocks of S and S' are synchronized at t = t' = 0 when the origins O and O' coincide. An event is observed in both systems. The event takes place at x = 672 m and at time t = 1.6 μs, as measured by an observer in S. What is the x'-coordinate of the event, measured by an observer in S'?An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K° particle passes the experimenter at 0.5c and decays, emitting a 7° in the original direction of motion. In the experimenter's frame, the speed of the T° is measured to be O 1.3c. O between c and 1.3c. between .5c and .8c. O between .8c and c..
- 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?Earth and a star are 20 light years (ly) apart, measured in a frame at rest with respect to Earth and star. Twin A boards a spaceship, travels at 0.80c to the star, and then returns immediately to Earth at 0.80c. Determine the round-trip travel times in Earth and ship refer- ence frames.A person on Earth observes two rocket ships moving directly toward each other and colliding as shown in the figure below. At time t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at vA = 0.80c, is at point a, and rocket B is at point b, travelling to the left at vB = 0.60c. According to the Earth observer they are separated by a distance l = 4.2 x 108 m as shown in the other figure. How much time will elapse in frame A from the time rocket A passes point auntil collision?