Particle A (with rest energy 184 MeV) is at rest in a lab frame when it decays to particle B (rest energy 92 MeV) and particle C (rest energy 46 MeV). What are the (a) total energy and (b) momentum of B and the (c) total energy and (d) momentum of C?
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- An unstable particle at rest spontaneously breaks into two fragments of unequal mass. The mass of the first fragment is m1 = 2.50 x 10-28 kg, and that of the other is m2 = 1.67 x 10-27 kg. If the speed of m1 is equal to 0.893c after the breakup, where c = 3 x 108 m/s. What is the final speed of m2?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?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 energy
- The muon is an unstable subatomic particle witha mean lifetime of 2.2 μs, and about 10,000 muons reach everysquare meter of the earth's surface a minute. A muon has a linear momentum G, and after some short time it decays into two other elementary particles with masses m1 and m2. The energy Q released during the decay is converted entirely into the kinetic energy of the decay products (i.e., into kinetic energy of m1 and m2). Find linear momenta of decay products. Draw a vector diagram showing a range of momenta decay products can take.An unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on the particle or its fragments. One of the fragments has a velocity of +0.837c and a mass of 1.77 × 10-27 kg, and the other has a mass of 5.29 × 10-27 kg. What is the velocity of the more massive fragment (as a multiple of c)? (Hint: This problem is similar to Example 6 in Chapter 7.) Unstable particle at rest Number i V2 m2 Units m1 V1 Recoiling fragmentsAn unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on the particle or its fragments. One of the fragments has a velocity of +0.811c and a mass of 1.57 × 10-27 kg, and the other has a mass of 5.98 × 10-27 kg. What is the velocity of the more massive fragment (as a multiple of c)? (Hint: This problem is similar to Example 6 in Chapter 7.) Unstable particle at rest V2 m2 m1 V1 Recoiling fragments
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- An object with a rest mass of 1.5 kg is moving at a speed of 0.91c. (a) Determine the relativistic momentum of the object. (b) Determine the total relativistic energy, in joules, of the object according to a stationary observer.In a collider two protons are accelerated until they have kinetic energies of 1000 MeV (as seen in the lab). The pair is then split and brought around circular paths so that they are directed at each other. What speed of approach would one proton see the other as having? The mass of a proton is 1.673x10-27 kg (or 1.007276 u), and the rest mass energy of a proton is 938.3 MeV. (Speed is a scalar, so your answer will not need a direction.) K= 1000 MeV K = 1000 MeVA particle has a rest energy of 4.31×10−13 J and a total energy of 8.33×10−13 J. Calculate the momentum p of the particle.