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Two time-like separated events in spacetime have coordinates in the lab frame S given by (ch,...
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?
Consider an event with space-time coordinates (t=2.00s,x=2.50�108m)in an inertial frame of reference S. Let S' be a se...
Consider an event with space-time coordinates (t=2.00s,x=2.50�108m)in an inertial frame of reference S. Let S' be a second inertial frame of reference moving, in the positive x direction, with speed 2.70�108m/s relative to frame S. Find the value of gamma that will be needed to transform coordinates between frames S and S'. Use c=3�108m/s for the speed of light in vacuum. Suppose that S and S' share the same origin; that is, at t = t' = 0, x =...
The space and time coordinates for two events as measured in a frame S are as...
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, t1=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?
Consider an event with space-time coordinates (t=2.00s,x=2.50 x 108m)in an inertial frame of reference S. Let...
Consider an event with space-time coordinates (t=2.00s,x=2.50 x 108m)in an inertial frame of reference S. Let S' be a second inertial frame of reference moving, in the positive x direction, with speed 2.70 x 108m/s relative to frame S. Find the value of gamma that will be needed to transform coordinates between frames S and S'. Use c=3 x 108m/s for the speed of light in vacuum. Suppose that S and S' share the same origin; that is, at t...
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...
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.
B. An observer in frame S sees lightning simultaneously strike two points 100 m apart.The first...
B. An observer in frame S sees lightning simultaneously strike two points 100 m apart.The first strike occurs at xi-50 m, yi-zi-ti-0 and the second at x2 -50 m, y2-z2 t2-0. (a) Find the coordinates of these two events in a frame S moving in the usual configuration at 0.9c along the x-axis of S. (b) How far apart are the events in S? (c) Find the difference in time between the events, as seen in S. Which event occurs...
5. (Fully graded)An observer in frame S sees lightning simultaneously strike two points 100 m apart....
5. (Fully graded)An observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at zi = V1 =句= t,-0 and the second at z2 = 100m, y2 = 뀨2 = t2 = 0. (a) What are the coordinates of these two events in a frame S" moving at 0.70c in the positive x direction relative to S? b) How far apart are the events in S? (c) Are the events simultaneous in S?...
4. Field transformations: In the lab frame E 4 V/m, B -3y T, and a point...
4. Field transformations: In the lab frame E 4 V/m, B -3y T, and a point charge q = 1C is observed to be moving with velocity v 2 m/s. a) What is the electric field E' measured in the frame of reference of q? Determine E' by ensuring that the Lorentz force applied on charge q is identical in both reference frames. b) Is this charge being accelerated or not under the influence of fields E and B? Discuss...
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?
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...
B. An observer in frame S sees lightning simultaneously strike two points 100 m apart.The first strike occurs at xi-50 m, yi-zi-ti-0 and the second at x2 -50 m, y2-z2 t2-0. (a) Find the coordinates of these two events in a frame S moving in the usual configuration at 0.9c along the x-axis of S. (b) How far apart are the events in S? (c) Find the difference in time between the events, as seen in S. Which event occurs...
5. (Fully graded)An observer in frame S sees lightning simultaneously strike two points 100 m apart. The first strike occurs at zi = V1 =句= t,-0 and the second at z2 = 100m, y2 = 뀨2 = t2 = 0. (a) What are the coordinates of these two events in a frame S" moving at 0.70c in the positive x direction relative to S? b) How far apart are the events in S? (c) Are the events simultaneous in S?...
4. Field transformations: In the lab frame E 4 V/m, B -3y T, and a point charge q = 1C is observed to be moving with velocity v 2 m/s. a) What is the electric field E' measured in the frame of reference of q? Determine E' by ensuring that the Lorentz force applied on charge q is identical in both reference frames. b) Is this charge being accelerated or not under the influence of fields E and B? Discuss...
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