An inertial frame S’moves at a speed of 0.65c in x direction with respect to a frame...
An inertial frame S’moves at a speed of 0.65c in x direction with respect to a frame S. Further, x= x’ = 0 at t = t’ = 0. Two events are recorded. In frame S, event 1 occurs at the origin at t= 0 and event 2 occurs on the x axis at x= 3.0 km at t= 4.0 us. According to observer S’, what is the time of (a) event 1 and (b) event 2? (c) Do the two observers see the two events in the same sequence or the reverse sequence?
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An inertial frame S’moves at a speed of 0.65c in x direction
with respect to a frame...
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.
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...
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.
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 =...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame,...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame, Ω. Find any cross products in this problem. This problem will have calculation in the non inertial frame S which rotates with the Earth about its axis. Earth is motionless in the S frame. The xyz coordinate system originates at the center of the Earth, the North Pole is on the positive z axis. At t = 0, a ball of mass m is...
9 An inertial frame of reference S' moving to the left with speed 25 ms' moves...
9 An inertial frame of reference S' moving to the left with speed 25 ms' moves past another inertial frame S. At time zero the origins of the two frames coincide. a A phone rings at location x=24 m and 1=5.0s. Determine the location of this event in the frame S. b A ball is measured to have velocity -15 ms' in frame S. Calculate the velocity of the ball in frame S.
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...
An ideal magnetic dipole moment m is located at the origin of an inertial system S that moves with a speed v in the x-d...
An ideal magnetic dipole moment m is located at the origin of an inertial system S that moves with a speed v in the x-direction with respect to an inertial system S. In the rest frame of the magnetic dipole, the vector potential is given by Eq. 5.85 in your book, 4. 12 o mxf A = - 4 r2 and the scalar potential is zero. Show that the scalar potential in the frame S is given by (1 -...
A car is moving in the positive x direction in the reference frame S. The reference...
A car is moving in the positive x direction in the reference frame S. The reference frame S' moves at a speed of 0.88c, along the x axis. The proper length of the car is 3.40 m. Calculate the length of the car according to observers in the S' frame.
Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was measured...
Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was measured to be 0.65c. The rocket's rest length is 300 m. An observer flying by measured the rocket to be 321 m long. A rocket flying away from the Sun at 0.78c measured the speed of the photons (particles of light) emitted by the Sun to be c. An inertial reference frame had an acceleration of 0 m/s2.The proper time interval between two events was...
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.
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.
9 An inertial frame of reference S' moving to the left with speed 25 ms' moves past another inertial frame S. At time zero the origins of the two frames coincide. a A phone rings at location x=24 m and 1=5.0s. Determine the location of this event in the frame S. b A ball is measured to have velocity -15 ms' in frame S. Calculate the velocity of the ball in frame S.
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...
An ideal magnetic dipole moment m is located at the origin of an inertial system S that moves with a speed v in the x-direction with respect to an inertial system S. In the rest frame of the magnetic dipole, the vector potential is given by Eq. 5.85 in your book, 4. 12 o mxf A = - 4 r2 and the scalar potential is zero. Show that the scalar potential in the frame S is given by (1 -...
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