In the earth's reference frame, a tree is at the origin and a pole is at...
In the earth's reference frame, a tree is at the origin and a pole is at x = 37 km. Lightning strikes both the tree and the pole at t = 17 μs. The lightning strikes are observed by a rocket traveling in the x-direction at 0.70 c.
What are the spacetime coordinates x′tree, x′pole for these two events in the rocket's reference frame?
What are the spacetime coordinates t′tree, t′pole for these two events in the rocket's reference frame?
Are the events simultaneous in the rocket's frame? If not, which occurs first
Homework Answers
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In the earth's reference frame, a tree is at the origin and a
pole is at...
In the earth's reference frame, a tree is at the origin and a pole is at...
In the earth's reference frame, a tree is at the origin and a pole is at x = 33 km. Lightning strikes both the tree and the pole at t = 12 μs. The lightning strikes are observed by a rocket traveling in the x-direction at 0.70 c. What are the spacetime coordinates x′tree, x′pole for these two events in the rocket's reference frame? What are the spacetime coordinates t′tree, t′pole for these two events in the rocket's reference frame?
A rocket travels in the x-direction at speed 0.60 с with respect to the earth. An...
A rocket travels in the x-direction at speed 0.60 с with respect to the earth. An experimenter on the rocket observes a collision between two comets and determines that the spacetime coordinates of the collision are (I', t') = (3.5x 1010 m, 220 s). Part A What is the spacetime coordinate of the collision in earth's reference frame? Express your answer with the appropriate units. 2- Value m Submit Request Answer Part B What is the spacetime coordinate t of...
Please help me understand this problem An observer in an inertial reference frame S sees lightning...
Please help me understand this problem
An observer in an inertial reference frame S sees lightning strike simultaneously at two points that are 870 nm apart. He measures that the location of the first lightning strike is given by the four coordinates x1 0 m, y1 0 m, z1 0 m, and t0 s. He measures that the location of the second lightning strike is given by the four coordinates X2 = 870 m, y2 = 0 m, z2 0...
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...
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?...
Two rockets A and B are parallel to the x-axis in the reference frame of the...
Two rockets A and B are parallel to the x-axis in the reference frame of the lab. Rocket A is moving with velocity Va parallel to x-axis. Rocket B is moving with velocity Vb parallel to y-axis. At time t=0 the centers of both sticks coincide at the origin. Find the angle between the sticks and the length and velocity of stick B in the reference frame of stick A. Find the angle between the sticks and the length and...
Two spaceships leave the Earth at time t-0 in opposite directions with velocities v, and v2...
Two spaceships leave the Earth at time t-0 in opposite directions with velocities v, and v2 (v1 > v2). At a subsequent time ts, two light signals are sent from the Earth to both of the spaceships. E and E2 are the events of the light signal reached at spaceship 1 and spaceship 2 respectively. (a) Find ti and x of E, and the spatial coordinates of E, and Ea as viewed from (30 marks) the Earth. (b) Obtain the...
cant seem to figure out how to do Q iii onwards... Question 6 [3+2+3+ 5+2+2 +...
cant seem to figure out how to
do Q iii onwards...
Question 6 [3+2+3+ 5+2+2 + 2 +2 21 marks] Sherlock Duck v0.95c Billy and Wyatt courtesy of http://www.designedtoat.com/freegraphics.htm Billy and Wyatt are playing laser tag at the OK Laser Tag Centre. Sherlock Duck is flying past in a very fast rocket travelling at 0.95c relative to the reference frame of Billy and Wyatt. The accompanying figure depicts the view from Sherlock Duck's reference frame where Billy, Wyatt and the...
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 =...
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...
A rocket travels in the x-direction at speed 0.60 с with respect to the earth. An experimenter on the rocket observes a collision between two comets and determines that the spacetime coordinates of the collision are (I', t') = (3.5x 1010 m, 220 s). Part A What is the spacetime coordinate of the collision in earth's reference frame? Express your answer with the appropriate units. 2- Value m Submit Request Answer Part B What is the spacetime coordinate t of...
Please help me understand this problem
An observer in an inertial reference frame S sees lightning strike simultaneously at two points that are 870 nm apart. He measures that the location of the first lightning strike is given by the four coordinates x1 0 m, y1 0 m, z1 0 m, and t0 s. He measures that the location of the second lightning strike is given by the four coordinates X2 = 870 m, y2 = 0 m, z2 0...
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?...
Two spaceships leave the Earth at time t-0 in opposite directions with velocities v, and v2 (v1 > v2). At a subsequent time ts, two light signals are sent from the Earth to both of the spaceships. E and E2 are the events of the light signal reached at spaceship 1 and spaceship 2 respectively. (a) Find ti and x of E, and the spatial coordinates of E, and Ea as viewed from (30 marks) the Earth. (b) Obtain the...
cant seem to figure out how to
do Q iii onwards...
Question 6 [3+2+3+ 5+2+2 + 2 +2 21 marks] Sherlock Duck v0.95c Billy and Wyatt courtesy of http://www.designedtoat.com/freegraphics.htm Billy and Wyatt are playing laser tag at the OK Laser Tag Centre. Sherlock Duck is flying past in a very fast rocket travelling at 0.95c relative to the reference frame of Billy and Wyatt. The accompanying figure depicts the view from Sherlock Duck's reference frame where Billy, Wyatt and the...
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