How fast must an object move before its length appears to be contracted to one-half its proper length?
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Question: How fast must an object move before its length appears to be contracted to one-half its proper length?
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- 6. A particle has a speed of 96% of the speed of light and a mass of 1u. The particle is unstable and its lifetime is 150 ns. It passes through a room where we stand and observe. (a) How long do we think the lifetime of the particle is? (b) The room is 10 m long, but how far does the particle feel as it passes? (c) How much of the particle's total energy is rest mass?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?A muon is determined to live for 2.2E[-6]s in the muon's rest reference frame. If a muon is traveling near the speed of light relative to an observer, the observer will measure the duration of the muon's life to be ...
- At what speed will a 1 m rule be moving if it its apparent length is measured by a stationary observer to be 0.5 m?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?12. (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 spaceship from another galaxy passes over the solar system directly above a radial line from the sunto the Earth. (We measure the distance between the Earth and the Sun to be 1.496 x 1011 m.) Anobserver standing on the Earth measures that the spaceship is approaching at 0.800c. The Earth-basedobserver also measures that it takes the spaceship 625 seconds to travel from the sun to Earth. Ignorethe relative motion of the Sun and Earth in this problem – their relative speed is only 0.001c, negligiblysmall compared to 0.800c.a) According to a scientist in the spaceship, the Earth-Sun distance is: ______8.9 x 10 ^10__________________b) According to a scientist in the spaceship, the time it takes her to travel the Earth-Sun distance is:_________374 s _______________c) What is the ratio of the kinetic energy to rest energy of the spaceship? KE/ER = _______0.667__________d) As the spaceship passed over the Sun, the alien scientist launched a probe toward Earth, traveling at0.200c relative to…A particle's dynamics are considered "relativistic" when its velocity is a significant fraction of the speed of light. For example, the mass of a moving particle seen by a stationary observer increases in proportion to the square root of 1/(1 - (v/c)2). For typical speeds in the everyday world it is not noticeable, but take a fast moving fundamental particle and you may have apparent mass increases or changes in its lifetime as a consequence of time dilation. Look at this factor for the electron you measured at 100 V in the glass globe. Pick the best answer. The effect is less than 0.1 %. The effect is around 1%. The effect is around 10%. The effect is a factor of 2 change in mass.2. An observer P stands on a train station platform as a high-speed train passes by at u/c = 0.8. The observer P, who measures the platform to be 60 m long, notices that the front and back ends of the train line up exactly with the ends of the platform at the same time. How long does it take the train to pass P as he stands on the platform, as measured by his watch?
- An elementary particle produced in a laboratory experiment travels 0.230 mm through the lab at a relative speed of 0.960c before it decays (becomes another particle). (a) What is the proper lifetime of the particle? (b) What is the distance the particle travels as measured from its rest frame?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