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1. Consider two frames S and S' where S' is moving with velocity vector (0.9c,0,0) with...
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.
Two time-like separated events in spacetime have coordinates in the lab frame S given by (ch,...
Two time-like separated events in spacetime have coordinates in the lab frame S given by (ch, x) = (1,1) and (a) How fast must S' be moving so that events 1 and 2 happen at the same point in space (i.e, their x coordi- (b) If S' is moving at speed u = 0.9c, how far separated in time (equivalently the coordinate cr) are the two (c) How fast must S be moving so that events 1 and 2 are...
2) You and your friend Barbara are in two different reference frames (rf) and are discussing/arguing...
2) You and your friend Barbara are in two different reference frames (rf) and are discussing/arguing about where and when a firecracker exploded. You are in a spaceship speeding past Barbara's "Earth" rf at 99.9% the speed of light (moving to her right) At zero time in both rfs, both your origins coincide, i.e. your spaceship is at her location at t 0. Barbara states unequivocally that the firework exploded at t 1 nanosecond (ns) exactly 2 meters to her...
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...
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?
The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 2.3 m at t0 = 0 s.(Figure 1)
The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 2.3 m at t0 = 0 s.(Figure 1) You may want to review (Pages 44 - 48) . Part B What is the particle's velocity at t = 1.0 s? Part C What is the particle's acceleration at t = 1.0 s?Part DWhat is the particle's position at t =3.0s ?Express your answer to three significant figures and include the
appropriate units.x=?Part EWhat is the particle's velocity...
2. Consider a mass m moving in R3 without friction. It is fasten tightly at one...
2. Consider a mass m moving in R3 without friction. It is fasten tightly at one end of a string with length 1 and can swing in any direction. In fact, it moves on a sphere, a subspace of R3 1 0 φ g 2.1 Use the spherical coordinates (1,0,) to derive the Lagrangian L(0,0,0,0) = T-U, namely the difference of kinetic energy T and potential energy U. (Note r = 1 is fixed.) 2.2 Calculate the Euler-Lagrange equations, namely...
5.15 PROGRAM: Functions - Upset Fowls (C++) (1) Correct the first FIXME by moving the intro...
5.15 PROGRAM: Functions - Upset Fowls (C++) (1) Correct the first FIXME by moving the intro text to the function stub named PrintIntro and then calling the PrintIntro function in main. Development suggestion: Verify the program has the same behavior before continuing. (2) Correct the second FIXME by completing the function stub GetUsrInpt and then calling this function in main. Notice that the function GetUsrInpt will need to return two values: fowlAngle and fowlVel. (3) Correct the third FIXME by...
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.
Two time-like separated events in spacetime have coordinates in the lab frame S given by (ch, x) = (1,1) and (a) How fast must S' be moving so that events 1 and 2 happen at the same point in space (i.e, their x coordi- (b) If S' is moving at speed u = 0.9c, how far separated in time (equivalently the coordinate cr) are the two (c) How fast must S be moving so that events 1 and 2 are...
2) You and your friend Barbara are in two different reference frames (rf) and are discussing/arguing about where and when a firecracker exploded. You are in a spaceship speeding past Barbara's "Earth" rf at 99.9% the speed of light (moving to her right) At zero time in both rfs, both your origins coincide, i.e. your spaceship is at her location at t 0. Barbara states unequivocally that the firework exploded at t 1 nanosecond (ns) exactly 2 meters to her...
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?
2. Consider a mass m moving in R3 without friction. It is fasten tightly at one end of a string with length 1 and can swing in any direction. In fact, it moves on a sphere, a subspace of R3 1 0 φ g 2.1 Use the spherical coordinates (1,0,) to derive the Lagrangian L(0,0,0,0) = T-U, namely the difference of kinetic energy T and potential energy U. (Note r = 1 is fixed.) 2.2 Calculate the Euler-Lagrange equations, namely...
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