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» Problem 4-6: Denote by F the event on the x-axis of a spacetime diagram that...
Problem 4-5: Denote by E the event on the ct-axis of a spacetime diagram that is...
Problem 4-5: Denote by E the event on the ct-axis of a spacetime diagram that is a proper time cr from the origin. What is the locus of all events on the spacetime diagram that are separated from the origin by the same proper time? The answer should be a hyperbola that asymptotes to the line ct - x but which is horizontal on the spacetime diagram right at E.
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?
(6%) Problem 16: Two charges lie in a line along the x axis. Charge 1 is...
(6%) Problem 16: Two charges lie in a line along the x axis. Charge 1 is 91. 1,2 C and charge 2 is q2 = 2.15 C.They are each a distance ofd=0.089 m from the origin What is the distance on the x-axis from the origin at which the electric field will be zero. Give your answer in meters. Grade Summary 0% 100% tan Submissions Attempts remaining: 4 % per attempt) etailed view o DegreesRadians 0% 0% 0% Submit Hints:...
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...
Problem 4: SpaceTime diagrams (25 points) Consider the two points labeled 1 and 2 in this...
Problem 4: SpaceTime diagrams (25 points) Consider the two points labeled 1 and 2 in this spacetime diagram. Notice that in the Lorentz frame represented by this diagram, both events are in the future: ti > 0 and t2 > 0. (The diagonal lines with 45° slope represent the light cone.) ct (a) Prove that, regardless of the value of ß-u/c, when you boost to a different Lorentz frame, the event 1 remains in the future, that is, 0 always....
Problem 5 -+6 pC is placed on the y-axis at-3 m. and charge Q:-8 C is...
Problem 5 -+6 pC is placed on the y-axis at-3 m. and charge Q:-8 C is placed on the A charge Q x-axis at +4 m. What is the magnitude of the clectric force between the charges? On the diagram below show the direction of the net electric field at the origin. h. What is the magnitude of the net electric ficld at the origin? What is the clectric energy of the system of two charges? c. d. e. What...
Consider the two charges on the x-axis in the diagram below. Each charge is 22 cm...
Consider the two charges on the x-axis in the diagram below. Each charge is 22 cm from the origin, Q1= 4.35 mu C and Q2= 6.79 mu C. What is the electric potential at point P on the y-axis a distance of 64 cm from the origin (in V)? What is the magnitude of the electric field at the ORIGIN (in N/C)? Tries 0/20
how do you account for the electron on the x axis Problem 13.55 Your ansiwer is...
how do you account for the
electron on the x axis
Problem 13.55 Your ansiwer is partially correct. Thy again. A dipole is centered at the origin, and is composed of charged particles with charge te and -e, separated by a distance 8 x 10-10 m along the y axis. The te charge is on the -y axis, and the -e charge is on the ty axis. A proton is located at <0, 4 × 104, 0> m. What is...
1(a) . Let A denote the area enclosed by the graph f(x)= 10-x, the x- axis , and the lines x=3 an...
1(a) . Let A denote the area enclosed by the graph f(x)= 10-x, the x- axis , and the lines x=3 and x =5. Graphing the region and using plane geometry , find A. (b). Let A denote the area enclosed by the graph f(x)= (x-1)^2, the x - axis , and te lines x=2 and x=9. Graphing the region and using plane geometry , we can find that A=. (c). Suppose S4 is the lower sum of the area...
Problem #6: A rod of length I coincides with the interval [0, L] on the x-axis....
Problem #6: A rod of length I coincides with the interval [0, L] on the x-axis. Let u(x, t) be the temperature. Consider the following conditions. (A) There is heat transfer from the lateral surface of the rod into the surrounding medium, which is held at temperature 0° (B) There is heat transfer from the left end into the surrounding medium, which is held at a constant temperature of 0° (C) The left end is insulated. (D) The right end...
Problem 4-5: Denote by E the event on the ct-axis of a spacetime diagram that is a proper time cr from the origin. What is the locus of all events on the spacetime diagram that are separated from the origin by the same proper time? The answer should be a hyperbola that asymptotes to the line ct - x but which is horizontal on the spacetime diagram right at E.
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?
(6%) Problem 16: Two charges lie in a line along the x axis. Charge 1 is 91. 1,2 C and charge 2 is q2 = 2.15 C.They are each a distance ofd=0.089 m from the origin What is the distance on the x-axis from the origin at which the electric field will be zero. Give your answer in meters. Grade Summary 0% 100% tan Submissions Attempts remaining: 4 % per attempt) etailed view o DegreesRadians 0% 0% 0% Submit Hints:...
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...
Problem 4: SpaceTime diagrams (25 points) Consider the two points labeled 1 and 2 in this spacetime diagram. Notice that in the Lorentz frame represented by this diagram, both events are in the future: ti > 0 and t2 > 0. (The diagonal lines with 45° slope represent the light cone.) ct (a) Prove that, regardless of the value of ß-u/c, when you boost to a different Lorentz frame, the event 1 remains in the future, that is, 0 always....
Problem 5 -+6 pC is placed on the y-axis at-3 m. and charge Q:-8 C is placed on the A charge Q x-axis at +4 m. What is the magnitude of the clectric force between the charges? On the diagram below show the direction of the net electric field at the origin. h. What is the magnitude of the net electric ficld at the origin? What is the clectric energy of the system of two charges? c. d. e. What...
Consider the two charges on the x-axis in the diagram below. Each charge is 22 cm from the origin, Q1= 4.35 mu C and Q2= 6.79 mu C. What is the electric potential at point P on the y-axis a distance of 64 cm from the origin (in V)? What is the magnitude of the electric field at the ORIGIN (in N/C)? Tries 0/20
how do you account for the
electron on the x axis
Problem 13.55 Your ansiwer is partially correct. Thy again. A dipole is centered at the origin, and is composed of charged particles with charge te and -e, separated by a distance 8 x 10-10 m along the y axis. The te charge is on the -y axis, and the -e charge is on the ty axis. A proton is located at <0, 4 × 104, 0> m. What is...
Problem #6: A rod of length I coincides with the interval [0, L] on the x-axis. Let u(x, t) be the temperature. Consider the following conditions. (A) There is heat transfer from the lateral surface of the rod into the surrounding medium, which is held at temperature 0° (B) There is heat transfer from the left end into the surrounding medium, which is held at a constant temperature of 0° (C) The left end is insulated. (D) The right end...
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