A particle has a proper lifetime of 2.5 × 10^−6s. How fast/gamma must it be going to arrive on the surface of the earth 8km below? If the particle's mass is 120 MeV, what would its total energy and kinetic energy be?
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A particle has a proper lifetime of 2.5 × 10^−6s. How fast/gamma must it be going to arrive on the surface of the earth 8km below? If the particle's mass is 120 MeV, what would its total energy and kinetic energy be?
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- 1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and −0.861c, respectively. Find the masses of the fragments in kg. (Hint: Conserve both mass–energy and momentum.)A star is 16.6 light-years from Earth. Part A How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on Earth? tEarth 17.5 years Submit ✓ Part B Correct How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on the spacecraft? t = 5.46 years Submit ✓ Previous Answers Part C Correct Submit What is the distance traveled according to observers on the spacecraft? 15.18 light-years Previous Answers Part D Correct Previous Answers v= 5.18 What will the spacecraft occupants compute their speed to be from the results of part B and part C? IT| ΑΣΦ Submit Previous Answers Request Answer ? X Incorrect; Try Again; 3 attempts remaining .C
- A particle has a mass of 6.4E-27kg and a momentum of 3.5E-18 kg.m/s. Determine the energy of that particle in GeV (1GeV=1E9 eV). Keep three significant digits.Albert Einstein’s theory of relativity, which he developed in the context of his special theory of relativity, are inconsistent with several experiments. This is not the case with the general theory of relativity, whose predictions coincide with the experiments without contradiction and whose experimental confirmations were celebrated as great scientific achievements. The latter made the physicists obviously blind to the contradictions of the foundations of the theory of relativity and led to an immunization against critical statements on the theory of relativity. Explain this in simpler terms.Helpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k₂ = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-10 N (c) 2.3 x 10-19 N (d) 4.6 x 10-19 N cing the voltage so following insta choices below at a time! 1.00 s?