At what speed would the relativistic value for the linear momentum of a particle be twice the classical values?
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Q: pion
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- HINT (a) What is the momentum (in kg · m/s) of a proton moving at 0.886c? |kg · m/s (b) At what speed (in m/s) will a particle's relativistic momentum equal twice its classical momentum? |m/sIf the lifetime of a particle when it is at rest is 81% of the observed lifetime of the particle, how fast is the particle moving?At what speed is an electron’s total energy 50% more than its rest energy?
- A particle is found to have a lifetime of 30 ms. It is found moving at a speed of 0.999c. How long can the particle be observed in a laboratory if it is moving at the given speed.An elementary particle of mass 9.5 x 10-27 kg is moving at speed 9 x 107 m/s. (A) Its relativistic momentum in terms of its classical momentum (B) Its KE = . (C) Its rest energy = . (D) Its total energy6. 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?
- Starting with the definitions of relativistic energy and momentum, show that E2 =P2c2 +m2c4 (Eq. 26.13).Since there is an upper limit on the speed of a particle, does it follow that there is also an upper limit on its momentum, and, therefore, on its kinetic energy? Explain.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.
- An alpha particle has a mass of 6.4E-27kg is propagating at relativistic speeds and has an energy of 6.48GeV (so 6.48E9 eV) What is the speed of the particle, expressed in units of c, c being the speed of light. Keep three significant digits.(a) What is the momentum of a proton moving at 0.900c ? (b) At what speed will a particle’s relativistic momentum equal twice its classical momentum?A beam of radioactive particles travels at a speed of 2.5 x 10^8 m/s. The half-life of the particles in the beam is measured to be 1.4μs by an outside observer. Determine the half-life of those particles when they are at rest with respect to the observer. [2 marks] When I performed calculations I considered the time given to be relativistic time as it is measured by an outside observer, however when I look up the answer, they treat the time given as the proper time and not the relatavistic time. Why is that?