A spaceship approaches Earth with a velocity v=0.65 c. A spaceship- based scientist determines that the area of a rectangle and of an equilateral triangle are equal. Consider that the two shapes are coplanar with v; their orientation relative to v is shown in the figure. Then, an Earth-based observer determines that two areas are smaller than the areas determined by the scientist, with the rectangular area larger than the triangle.
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A: Givento=2.54×107 light yeart=75 years
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A: (a) momentum of the proton prel=m0v1-v2c2=1.67×10-27 kg0.6223.0×108 m/s1-0.662c2c2=4.157×10-19…
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A: Given data:- the given value of proton moving, 0.674c we know the speed of light is, c=3×108 m/s
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A: Given Data:The speed of the particle Lifetime of pion To Determine:(a). The lifetime of the pion…
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A: Given ---- Length of spaceship as seen by an astronaut on board = 205m we need to calculate----…
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A: 100-m 0.920 c 36.0 m 95.0 2.20×108 m/s
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A: Given: The speed of spaceship is v=0.90 c Let L0 be the proper length of spaceship. The apparent…
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A: Givenspeed of spaceship A = 0.85 c towards westspeed of spaceship B = 0.95 c towards east
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A: Given data: The speed of the particle, v = 0.810 c.
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Q: A particle known as a pion lives for a short time before breaking apart into other particles.…
A: Speed (v) = 0.990c Where, c = 3 × 108 m/s t = 2.6 × 10-8 s
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A: (a) speed = v= (delta x) / (delta t) = (x2-x1)/(delta t) = (1390-780)/(5.13 *10^-6) v= 118.908382…
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A: Given :- L = 35.0 m d = 8.35 m V = 2.44 × 10 8 We know C = 3 × 10 8 For part c given d = 10…
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A: To solve this problem, we can use the relativistic velocity addition formula, which tells us how to…
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Q: A certain type of elementary particle travels at a speed of 2.53 x 108 m/s relative to a lab. The…
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Q: As measured from the Earth, a spacecraft is moving at speed 0.80 c when it releases a probe at speed…
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- The measured mean lifetime of an elementary particle when it is at rest in the lab is measured to be 2.6x10-8 s. If the particle is observed while traveling at a speed v=0.9 c with respect to the lab. What will be the value of the measured mean lifetime while the particle is moving?A garage is a box 3m wide (x-direction) by 2m high (y-direction) and 8m deep (z-direction). You approach it at speed 0.968c along the z-direction. What dimensions do you observe the garage to have?Observers in reference frame S see an explosion located at x1=620 m. A second explosion occurs 6.0 micro-s later at x2=1500 m.In reference frame S', which is moving along the +x-axis at speed V, the explosions occur at the same point in space. What is the separation in time delta t' between the two explosions as measured in frame S'? Express your answer in microseconds (micro-s). delta t' = ? micro-s
- A high speed particle enters a medium and travels 7.1 mm before it decays. If the particle was travelling at 0.98c relative to the medium, what would the proper lifetime of the particle be? Give your answer in picoseconds (10-12 s) and don't give units.A spaceship is traveling with constant velocity +0.1c relative to Earth. At t = () a missile is fired from the spaceship in + direction with speed 0.7c relative to the spaceship. (You can assume that the missile reaches this velocity at the moment it is fired, and that the velocity of the spaceship doesn't change when firing the missile). a. What is the velocity of the missile relative to Earth? Give answer in units of c. 0.74 At time t₁ = 1 s (in the reference frame of the spaceship), the spaceship emits a laser pulse (i.e. a light pulse), towards the missile. The laser pulse hits the missile and destroys it immediately at the moment of the hit. The clocks in Earth, the spaceship and the missile were set to t = t' = t" = () at the moment at which the missile was fired. b. Find the time (in seconds) of the destruction of the missile, in the frame of reference of the missile. c. Find the time (in seconds) at which the light emitted in the explosion (destruction) of the missile reaches…A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.988c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 3.3 x 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number (b) Number i Units Units # +
- Astronomer David observes that a distant quasar is receding from the Earth at a speed of 0.80c. He also observes a not-as-distant galaxy to be receding from the Earth at a speed of 0.20c. How fast is the quasar receding in the frame of the galaxy? Express your answer as a fraction of c = 2.998 × 108 m/s.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…Your answer is partially correct. Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light years away. Assume that the planet and earth are at rest with respect to each other. The twins depart at the same time on different spaceships. One twin travels at a speed of 0.894, and the other twin travels at 0.412c (a) According to the theory of special relativity, what is the difference between their ages when they meet again at the earliest possible time? A₂-A₁- (b) Which twin is older? The second twin is older RA
- If 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?Leo 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.