Two trains approach one another along perpendicular directions, both traveling at a speed of c/2 as measuredby an earth-bound observer, as shown. Assume both trains have the same rest mass m.Earth FrameI c/2west train(a) Imagine you put yourself on the north train. From this point of reference, how fast does the west trainappear to be approaching?(b) The two trains are headed for an inevitable collision at the point marked by the red X. Assume the twotrains stick together in a crumpled mess of mass M upon colliding with one another. After the collision(and measured in the Earth frame),(i)long what angle 0 will thehed pair of collided trains travel?[Hint: momentum must be conserved along both the horizontal and vertical directions](ii) What will be the total momentum pfinal Oof the collided trains, post-collision?(iii) Determine the mass M of the collided trains.[Hint: try writing EPmc2 + M²c4 You should find that M + 2m.]final"final(iv) How fast will the joined trains travel?

(a) Given: The rest mass of the trains is m. The speed of the trains is c2. Introduction: Relative…

Answered: Two trains approach one another along…

Similar questions

The starship Enterprise leaves a distant earth colony, which is nearly at rest with respect to the earth. The ship travels at nearly constant velocity toward earth. When the Enterprise reaches earth 1.10 y has elapsed, as measured on the ship. Clocks in the earth's reference frame show that the voyage lasted 2.73 y. How far from earth is the colony, as measured in the reference frame of the earth?(b) How far from earth is the colony, as measured in the reference frame of the ship?
A spaceship leaves the solar system at v = (3/5)c and is headed towards a planet that is 20 c • years away (c is the speed of light). Assume the following: the Sun and the planet are mutually at rest and their clocks have been synchronized such that both read zero when the spaceship leaves. Say that the clock on the ship began at zero. If this is the case, then what should the clock on the ship read when it arrives at the planet?
The proper length of one spaceship is three times that of another. The two spaceships are traveling in the same direction and, while both are passing overhead, an Earth observer measures the two spaceships to have the same length. If the slower spaceship has a speed of 0.354c with respect to Earth, determine the speed of the faster spaceship. (Give your answer to at least 3 significant figures.) |c
An object is moving with ordinary speed 0.5c in S reference frame along a direction making an angle (tan 9 = 2) with respect to the positive x - axis. Find the zeroth component of the proper velocity.
Suppose 5 rocketships are all traveling in â in some frame S. The speeds are: St (min) 100 B 0 0.25 0.5 0.75 0.99 7 1 How much time passes on the clocks inside each rocketship if 100 minutes elapse on the stationary rocketship?
1) Calculate the interval As 2 between two events with coordinates (x1 = 50 m, y1 = 0, z1 = 0, t1 = 1 us) and (x2 = 120 m, y2 = 0, z2 = 0, t2 = 1.2 µs) in an inertial frame S. 2) Now transform the coordinates of the events into the S0 frame, which is travelling at 0.6c along the x-axis in a positive direction with respect to the frame S. Hence verify that the spacetime interval is invariant.
A person on Earth observes two rocket ships moving directly toward each other and colliding as shown in the figure below. At time t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at vA = 0.80c, is at point a, and rocket B is at point b, travelling to the left at vB = 0.60c. According to the Earth observer they are separated by a distance l = 4.2 x 108 m as shown in the other figure. How much time will elapse in frame A from the time rocket A passes point auntil collision?
Calculate the interval ∆s2 between two events with coordinates ( x1 = 50 m, y1 = 0, z1 = 0,t1 = 1 µs) and (x2 = 120 m, y2 = 0, z2 = 0, t2 = 1.2 µs) in an inertial frame S. b) Now transform the coordinates of the events into the S'frame, which is travelling at 0.6calong the x-axis in a positive direction with respect to the frame S. Hence verify that thespacetime interval is invariant.