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. O effects precede causes in some inertial frames. O lengths and times only appear different and have no effect on other measurable quantities.
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- As spaceship A moves away from the earth at 0.490c, the captain observes a second spaceship (B) moving in the same direction at a speed of 0.482c relative to A. Find the speed of B relative to the earth. cThe 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?A spaceship departs from a space station and achieves a constant speed of 0.80cwith respect to thes tation, moving directly away from it. The spaceship fires a torpedo forward (in the same direction). The torpedo’s speed with respect to the spaceship is 0.40c. How fast is the torpedo moving with respect to the station?
- An observer measures a spacecraft’s length to be exactly half of its rest length. a) What is the speed of the ship relative to the observer’s frame of reference? b) By what factor do the spaceship’s clocks run slow relative to clocks in the observer’s frame?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.)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<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.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 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--- vthese are all incorrectIf possible please do this on a computer. Thank you A spaceship passes you at a speed of 0.90c. You find the length of the ship in your frame of reference to be 50.0 m. A few months later, the ship docks, and you measure its length with a tape measure. What length does the tape measure show?