Teacher A and B are scheduled to have a class at 2:00 pm until 3:30 pm in the afternoon. Both came to class on time however, according to the guard on duty, Teacher A finished the class at 3: 25 pm while Teacher B finished at 3:35 pm. However, both teachers claimed that they both finished the class on time.c how the special theory of relativity is involved in this situation.
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- The 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?Answer both of the following questions regarding Special Relativity: a) An astronaut leaves their twin behind on Earth and departs on a journey on a spacecraft travelling at a speed of 0.840c. After 40.0 years pass on Earth, the astronaut returns to Earth to find that their age is now different from their twin. Both twins were 20 years old when the journey started. How old is the astronaut upon returning to Earth?2. Suppose the boat A is moving relative to the water with a velocity of 6 m/s due east and boat B is moving with a velocity of 12 m/s due west. Assume that observers on both boats use reference frames in which the x direction points east. According to the Galilean veloc- ity transformation equations, what is the velocity of boat A relative to boat B. (Hint: Draw a picture. Be sure to define which object corresponds to which frame.)
- Q1: An object moving with velocity u' = 0.65c in a frame that is itself moving at velocity v = 0.85c. what is the velocity of the object in unprimed frame according to Galilean and Lorentz transformations.1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocketChapter 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 Units
- A star is 12.2 ly (light-years) from Earth. HINT (a) At what constant speed (in m/s) must a spacecraft travel on its journey to the star so that the Earth–star distance measured by an astronaut onboard the spacecraft is 4.36 ly? m/s (b) What is the journey's travel time in years as measured by a person on Earth? NO SCIENTIFIC NOTATION ANSWERS THANK YOU* Sophie and Frieda are twins. They plan a trip to planet X which is 54 light years from Earth. They both leave Earth on their 30th birthday, but on different spacecraft. Sophie takes a spacecraft that travels at .99c, and Frieda takes a spacecraft that travels at .95c. As soon as Frieda arrives she is met at the terminal by Sophie (who was waiting there for her since she had arrived!). What are each of their biological ages (to the nearest 0.1 year) at this meeting? Earth and planet X are in the same (stationary) frame of reference here. A light year is 9.47x1015 m (but using meters will be awkward here)3. A man on the Earth is using a drill whose speed of rotation is 5 revolutions per second. A woman on a space ship is moving past the Earth at high speed. Looking at the man through a telescope, she sees the drill rotating at 3 revolutions per second. How fast is the space ship moving? Note: these are rates, not times. (Express answer as a fraction of c, like 0.500c)
- Which of the following are part of the first postulate of Einstein's Special Theory of Relativity? Time and weight are relative to the motion of the observer. All the laws of physics are the same in all inertial frames of reference. Absolute motion can always be detected. a I only b II only c III only d I, II, and III1. A cosmic ray particle enters the Earth's atmosphere at 97% of the speed of light (0.970c). The proper time of travel to the ground is 2.749 x 10 sec. What is the relativistic, 'dilated' time? 2. The Starship Enterprise, according some Trekkie analysts, is 300 meters long. If it is traveling at 0.952c, what would its length, L, be as seen from Earth? [Ch 28] 3. A given photon has a frequency of 6.5 x 10" sec". What is this photon's energy? CHAPTER 29-30 The electron in a hydrogen atom undergoes a transition from the 2nd excited state (n-3) to the ground state (n-1).* How much energy, in eV, will be given off by the electron? Use three significant figures. Note that, for hydrogen, E, =-13.6 eV. *This is a transition in the Lyman series, which involves transitions between n= 1 and higher states. The wavelengths are in the ultraviolet. The Balmer series, which involves transitions between n 2 and higher states, yields light in the visible.A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units