(8) Alice is moving from right to left with respect to Bob. Considering two space-like events P and Q with xp < xq in Alice's space coordinate. Which of the following is impossible? A. Both Alice and Bob consider P earlier than Q B. Both Alice and Bob consider P later than Q C. Alice considers P earlier than Q; Bob considers P later than Q D. Alice considers P later than Q; Bob considers P earlier than Q
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- A particle has a rest mass of 6.35 × 10¯ kg and a momentum of 5.39 × 10-¹8 kg.m/s. Determine the total relativistic energy E of the particle. 1.67 ×10-⁹ E = Incorrect Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest. K 1.93 Erest || IncorrectThe space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?Doppler Effect: This problem looks at wavelength shifts instead of frequency shifts. In this problem, AX is defined as the difference between the wavelength in the observer's frame and the source frame, and you can pick 2 to be equal to the wavelength in the source frame. a. Show that, for speeds u<2. An observer P stands on a train station platform as a high-speed train passes by at u/c = 0.8. The observer P, who measures the platform to be 60 m long, notices that the front and back ends of the train line up exactly with the ends of the platform at the same time. How long does it take the train to pass P as he stands on the platform, as measured by his watch?Observer A sees two events at the same place (Ax = Ay = Az = 0) and separated in time by Ar = 10-6 s. A second observer B sees them to be separated by Ar' = 2 × 10-6 s. What is the separation in space of the two events according to B? What is the speed of B relative to A?Chapter 37, Problem 015 The center of our Milky Way galaxy is about 24000 ly away. (a) To eight significant figures, at what constant speed parameter would you need to travel exactly 24000 ly (measured in the Galaxy frame) in exactly 27 y (measured in your frame)? (b) Measured in your frame and in lightyears, what length of the Galaxy would pass by you during the trip? (a) Number Units (b) Number UnitsThe muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a reference frame in which the muons are stationary, if the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 ms. Suppose the muons move at a speed of 0.95 c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?Consider a 5.75 m long sports car going past you at great speed. How fast would it have to be going past you in order for it to appear only 5.25 m long? Give you answer as a ratio of the velocity to the speed of light c. v/c=Two atomic clocks are synchronized. One is placed on a satellite which orbits around the earth at high speeds for a whole year. The other is placed in a lab and remains at rest with respect to the earth. You may assume both clocks can measure time accurately to many significant digits. a)Will the two clocks still be synchronized after one year? b) imagine the speed of light is much lower than its actual value. How would the results of this experiment change if the speed of light was only twice the average speed of the satellite? Explain your reasoning using a calculation.At t=0, an alien spaceship passes by the earth: let this be event A. At t=13 min (according to synchronized clocks on earth and Mars), the spaceship passes by Mars, which is 5 light-minutes from earth at the time: let this be event B. Radar tracking indicates that the spaceship moves at a constant velocity between earth and Mars. Just after the ship passes earth, people on earth launch a probe whose purpose is to catch up with and investigate the spaceship. This probe accelerates away from earth, moving slowly at first, but moving faster and faster as time passes, eventually catching up with and passing the alien ship just as it passes Mars. In all parts of this problem, you can ignore the effects of gravity and the relative motion of earth and Mars (which are small) and treat earth and Mars as if they were both at rest in the inertial reference frame of the solar system. Also assume that both the probe and the alien spacecraft carry clocks. 1. Draw a quantitatively accurate…A train, which is 200 m long, approaches a tunnel, which is 120 m long. The train is moving at a velocity of 0.89 c. a. What is the length of the train as seen be someone standing at the entrance to the tunnel? m b. Is the train ever entirely inside the tunnel as seen be the observer at the entrance to the tunnel? ONLY 1 ATTEMPT IS ALLOWED FOR THIS PART. ---Select--- v c. What is the length of the tunnel as seen be a passenger on the train? m d. Is the train ever entirely inside the tunnel as seen by the passenger on the train? ONLY 1 ATTEMPT IS ALLOWED FOR THIS PART. ---Select--- vLeo and Owen are working at a particle linear accelerator that is 414 meters long. A particle is moving at 0.89 c in the accelerator. What is the length of the particle accelerator in meters according to the particle? Give your answer with no decimal places please.