College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- An observer in reference frame S' observes that a lightning bolt strikes the origin, and 1.0×10−4 s later a second lightning bolt strikes the same location. What is the time separation delta t between the two lightning bolts determined by a second observer in reference frame S moving at a speed of 0.90c along the collinear x-x'-axis? delta t = ? sarrow_forwardThe 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'?arrow_forwardcordinates in Marrow_forward
- 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? Oarrow_forwardThe 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 Unitsarrow_forward1. 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?arrow_forward
- 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.arrow_forwardSystem 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'?arrow_forwardTwo rockets, A and B, approach the earth from opposite directions at speed 0.800c. The length of each rocket measured in its rest frame is 100 m. What is the length of rocket A as measured by the crew of rocket B?arrow_forward
- 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?arrow_forwardThe 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?arrow_forwardEarth 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.arrow_forward
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