At what speed, as a fraction of c, must an electron move so that its total energy is 17% more than its rest mass energy? ΜΕ ΑΣΦ ? -C
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- The dimensionless parameter γ is used frequently in relativity. As γ becomes larger and larger than 1, it means relativistic effects are becoming more and more important. A. What is γ if v = 0.28c? B. What is γ if v = 0.53c?The length of a moving spaceship is 27.4 m according to an astronaut on the spaceship. If the spaceship is contracted by 16.4 cm according to an Earth observer, what is the speed of the spaceship? cA particle has a rest mass of 7.15×10−27 kg and a momentum of 5.56×10−18 kg·m/s. Determine the total relativistic energy E of the particle. Find the ratio of the particle's relativistic kinetic energy K to its rest energy ?rest.
- The proper lifetime of a certain particle is 100.0 ns. How long does it live in the laboratory if it moves at v = 0.860c?As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two cultures of these bacteria are prepared, each consisting initially of one bacterium. One culture is left on earth and the other placed on a rocket that travels at a speed of 0.996c relative to the earth. At a time when the earthbound culture has grown to 64 bacteria, how many bacteria are in the culture on the rocket, according to an earth-based observer? Number i UnitsWhat are (a) the kinetic energy, (b) the rest energy, and (c) the total energy of a 1.2 g particle with a speed of 0.80 c ? Part A Express your answer using two significant figures. ΜΕ ΑΣΦ Ekinetic=263 Submit Previous Answers Request Answer × Incorrect; Try Again; 5 attempts remaining Part B Express your answer using two significant figures. ΜΕ ΑΣΦ Erest = Submit Request Answer Part C Express your answer using two significant figures. ΜΕ ΑΣΦ Etotal = Submit Request Answer ? ? ? J J J
- 3 J = (the rest energy is 3 c2 A spacecraft moves at a speed of ().8c relative to Earth, and shots a bullet with rest mass of M Joules), and its velocity relative to Earth is in the same direction as the spacecraft. The kinetic energy of the bullet relative to Earth is 5 J. What is the total energy (in Joule) of the bullet relative to the spacecraft?a) What is the kinetic energy of a 1.0 g particle with a speed of 0.800c? b) What is the rest energy of a 1.0 g particle with a speed of 0.800c? c) What is the total energy of a 1.0 g particle with a speed of 0.800c?Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station at a constant speed of 2.6 x 108 m/s with respect to the I.S.S. When an observer on the I.S.S. measures the moving vehicle, her measurement of the space vehicle length is 25.0 m. a) Determine the relativistic mass of the space vehicle. b) Determine the length of the space vehicle as measured by an astronaut on the space vehicle.
- A particle has a rest mass of 6.35 × 10¯ kg and a momentum of 5.39 × 10-¹8 kg.m/s. Determine the total relativistic energy E of the particle. 1.67 ×10-⁹ E = Incorrect Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest. K 1.93 Erest || Incorrect1. 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?A relativistic proton has a momentum of 1.0 × 10-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is the kinetic energy of this proton? (c = 3.00 × 108 m/s, mproton = 1.67 × 10-27 kg)