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- A borg spaceship is in the shape of a cube of side 100.0 m when it is at rest with respect to an observer. What length, width, and height will be the observer witness if the ship flies by at 0.62c going right to left? b) two borq crewmembers are arm wrestling, and it takes 6.0 seconds for the contest to end as measured by a third crewmember. As the ahip flies past the earth at 0.62c, how long will the match last according to an observer on earth?4If ever the human race would need to leave Earth, the Trappist-1 system might make a good destination – the star there has seven temperate terrestrial planets, a few of which are close to Earth’s size and mass. It’s 39.6 light years away, though, so it could take a long time to get there. (a) If the spaceship had a speed of 0.95c, how long would the journey take from the Earth’s reference frame? (b) How long would the journey be for the passengers on the spaceship?
- P9 E412. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.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 0.992c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.7 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
- Consider a general equation for the ratio the relativistic length to the proper length. Find an algebraic expression for v/c in terms of, ΔL/ΔLo Show the algebraic form of the equation that you apply and the final final expression.In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of 0.56c. He measures a trip as having a distance of 4.60e+05 m. How much time does Quicksilver measure this trip as taking? 2.73e-3 S Does Quicksilver measure the proper or dilated time? 2 proper time v Quicksilver's sister, Wanda Maximoff, is standing stationary near where he is running. How much time does Wanda measure this trip as taking? 3 3.29e-3 S What distance does Wanda measure for Quicksilver's trip? 4 XmSuppose 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).
- The mean lifetime of mesons (pions) is 26 ns. A beam of pions is travelling at 0.93c. As measured in the laboratory: a) What is their mean lifetime? b) How far would they travel before they decay?The kinetic energy of a deuteron is twelve times greater than its rest energy. (The mass of a deuteron is 3.34 ✕ 10−27 kg) Determine its total energy in millions of electron volts, or MeV. Determine its speed, expressed as a multiple of the speed of light c, to the nearest 0.001c. (Round your answer to at least three decimal places.)Electrons are accelerated to an energy of 13.0 GeV in the 3.00 km long Stanford Linear Accelerator. (a) What is the γ factor for the electrons?(b) What is their speed? Answer to 10 decimal places. c(c) How long does the accelerator appear to them? cm