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4-1 Two events occur at the same place in a certain inertial frame and are separated...
In an inertial frame two events occur simultaneously at a distance of 3 m apart. In...
In an inertial frame two events occur simultaneously at a distance of 3 m apart. In a frame moving with respect to the laboratory frame, one event occurs later than the other by 10s. By what spatial distance are the two events separated in the moving frame? Solve this problem in two ways: first by finding the Lorentz boost that connects the two frames and second by making use of the invariance of the spacetime distance between the two events.
Two events, A and B, occur in the frame S at spacetime 4-vector coordinates (0;500,10,10) and...
Two events, A and B, occur in the frame S at spacetime 4-vector coordinates (0;500,10,10) and (600;2000,10,10) respectively. All coordinates are given in meters. (a) What is the spacetime interval between these events? What type of interval is it? (b) How fast must an observer be moving along the x axis for the two events to be simultaneous and what is the spatial separation between the events in this case? (c) Could event B precede event A for some observer?
According to observer O, two events occur separated by a time interval Δt=0.48 μs and at...
According to observer O, two events occur separated by a time interval Δt=0.48 μs and at locations separated by Δx=47.8 m. (a) According to observer O', who is in motion relative to O at a speed of u=0.950c in the positive x direction, what is the time interval between the two events? Answer: 1.052 μs (b)What is the spatial separation between the two events, according to O'? m
Two events occur in an inertial system at the same time, but 8445 km apart. However...
Two events occur in an inertial system at the same time, but 8445 km apart. However in another inertial system these two events are observed to be 11210 km apart. What is the time difference between the two events in this second inertial system? Submit Answer Tries 0/12
13. What is the proper time interval between the securrence of two events: (a) if in...
13. What is the proper time interval between the securrence of two events: (a) if in some inertial frame the events are separated by 10 m and occur 5 sec apart? (6) If... 7.5 x 108 m and oceur 2.5 sec apart? (c) If... 5 X 105 m and occurs 1.5 see apart?
3. In an inertial frame S two events A and B take place at different locations...
3. In an inertial frame S two events A and B take place at different locations and at different times such that A (XA, ta) and B (Xa, to). Consider a second inertial frame S' moving at a constant speed u along the x axis with respect to S. Can the observer in S' observe these two events to be simultaneous and occurring at the same location i.e. (x'A=x'® and t's=t')? Make necessary calculations to justify your answer.
Two clocks, labelled 1 and 2, are at rest in an inertial frame , S. They...
Two clocks, labelled 1 and 2, are at rest in an inertial frame , S. They are synchronized and separated by a distance, d, as measured in S. A third clock, 3, at rest in S', moves from clock 1 to clock 2 at constant speed, v. An observer in S' measures the distance between clocks 1 and 2 to be 0.72 d. 10 seconds elapses on clocks 1 and 2 in the time taken for clock 3 to travel...
Two events are observed in a frame of reference S to occur at the same space...
Two events are observed in a frame of reference S to occur at the same space point, with the second event occurring after a time of 1.70 s . In a second frame S' moving relative to S, the second event is observed to occur after a time of 2.25 s . What is the difference between the positions of the two events as measured in S'? Use 3.00×108 m/s for the speed of light in a vacuum.
Two events occur in an inertial system O as follows: Event 1: x1=0, y1=0, z1=0, t1=0 s...
Two events occur in an inertial system O as follows: Event 1: x1=0, y1=0, z1=0, t1=0 s Event 2: x2=2.50 c.s, y2=0, z2=0, t2=1.75 s Describe the motion of a frame O’ with respect to O in which these events appear to be simultaneous. Explain your answer. Describe the motion of a frame O’ with respect to O in which these events appear to happen at the same place. Explain your answer. What values do Δs2and Δs’2have for these two events in O and...
1. Time-Like, Null, and Space-like Intervals Events E, F, and G in an inertial reference frame...
1. Time-Like, Null, and Space-like Intervals Events E, F, and G in an inertial reference frame have (t, z) coordinates as follows, Note that we're measuring both space and time coordinates in consistent units, i.e. (a) (4 points) Draw a spacetime diagram with the three points marked and labeled. (i) Is the interval between the two events time-like, null, or space-like? seconds and light-seconds, or light-metres (a unit of time!) and metres. Answer the following questions for the pair of...
In an inertial frame two events occur simultaneously at a distance of 3 m apart. In a frame moving with respect to the laboratory frame, one event occurs later than the other by 10s. By what spatial distance are the two events separated in the moving frame? Solve this problem in two ways: first by finding the Lorentz boost that connects the two frames and second by making use of the invariance of the spacetime distance between the two events.
Two events, A and B, occur in the frame S at spacetime 4-vector coordinates (0;500,10,10) and (600;2000,10,10) respectively. All coordinates are given in meters. (a) What is the spacetime interval between these events? What type of interval is it? (b) How fast must an observer be moving along the x axis for the two events to be simultaneous and what is the spatial separation between the events in this case? (c) Could event B precede event A for some observer?
Two events occur in an inertial system at the same time, but 8445 km apart. However in another inertial system these two events are observed to be 11210 km apart. What is the time difference between the two events in this second inertial system? Submit Answer Tries 0/12
13. What is the proper time interval between the securrence of two events: (a) if in some inertial frame the events are separated by 10 m and occur 5 sec apart? (6) If... 7.5 x 108 m and oceur 2.5 sec apart? (c) If... 5 X 105 m and occurs 1.5 see apart?
3. In an inertial frame S two events A and B take place at different locations and at different times such that A (XA, ta) and B (Xa, to). Consider a second inertial frame S' moving at a constant speed u along the x axis with respect to S. Can the observer in S' observe these two events to be simultaneous and occurring at the same location i.e. (x'A=x'® and t's=t')? Make necessary calculations to justify your answer.
1. Time-Like, Null, and Space-like Intervals Events E, F, and G in an inertial reference frame have (t, z) coordinates as follows, Note that we're measuring both space and time coordinates in consistent units, i.e. (a) (4 points) Draw a spacetime diagram with the three points marked and labeled. (i) Is the interval between the two events time-like, null, or space-like? seconds and light-seconds, or light-metres (a unit of time!) and metres. Answer the following questions for the pair of...
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