An S observer living on the x-axis observes a flash of red light (V) at x=1210m and after 4.96 μs, records a blue light pulse (A) at x=480m. Tip: To better organize your answer, use the V and A subscripts to label the coordinates of events. (a) What is the velocity with respect to S of an observer S' that records events as occurring in the same position? (b) Which event occurs first for S'? (c) What is the time interval measured by S' between events?

Determine an expression for the total travel time of the light pulse, as measured by the following: A) an observer in the S frame (Use the following as necessary: c, d, and v.) B) an observer on the spacecraft (Use the following as necessary: c, d, and v.) What If? If the transmitted light beam has a wavelength λT, determine an expression for the shift in the wavelength of the light beam, as measured by the following C) an observer in the S frame (Use the following as necessary: c, v, and λT.) D) an observer on the spacecraft (Use the following as necessary: c, v, and λT.)

At relativistic speeds near that of light, the half-life of an unstable particle moving at high speed is longer than when it is at rest. an object is longer when moving than when it is stationary. O light emitted by a moving source moves at the same speed with the same frequency. effects precede causes in some inertial frames. lengths and times only appear different and have no effect on other measurable quantities.

Einstein concluded that the speed of light is the same in all inertial frames. Prove that the analysis of the Michelson-Morley experiment (see attached image) is in error.

An astronomer on Earth observes red light at 680 nm from a distant galaxy. The astronomy knows that the red light that was emitted from the galaxy source was 656 nm. The speed of light is 3E[8] m/s. Pretend that the Earth is stationary. What is the velocity of the galaxy as measured from Earth and is it approaching or receding?

Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.99c. The muon then travels at constant speed and lives 1.5 μs as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.)Randomized Variablesv = 0.99 ct = 1.5 μs   Part (a)  How many kilometers does the muon travel according to an Earth-bound observer?  Part (b)  How many kilometers of the Earth pass by as viewed by an observer moving with the muon? Base your calculation on its speed relative to the Earth and its lifetime (proper time).

At relativistic speeds near that of light, the half-life of an unstable particle moving at high speed is longer than when it is at rest. O an object is longer when moving than when it is stationary. O light emitted by a moving source moves at the same speed with the same frequency. lengths and times only appear different, they are really just the same. O effects precede causes in some inertial frames.

(a) Calculate Ƴ for a proton that has a momentum of 1.00 kg.m/s. (b) What is its speed? Such protons form a rare component of cosmic radiation with uncertain origins.

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--- v