College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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What is the momentum of an electron traveling at a speed 0.985c ? The rest mass of the electron is 9.11×10−31 kg .
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- A 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.arrow_forwardAn unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.60 x 10° -28 kg and that of the heavier fragment is 1.66 × 10° -27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment?arrow_forward15 mc 4 mc The static energy Eo of a particle of mass m is one fourth of its total energy E. What is the particle's momentum in mc units? √3 mc 715 mc 3 mcarrow_forward
- 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?arrow_forwardAntimatter: When a particle and its anti-particle collide, energy and momentum are conserved. However, the particles can annihilate each other and produce two gamma rays - high energy photons. An electron and an anti-electron each have a rest mass of 9.11 × 10-31 kg. Suppose the particles are each accelerated to a speed of 0.98c in a particle accelerator with a length of 1543 m for a head on collision. (Each particle is moving at this speed with respect to the lab, and the particles are moving in opposite directions.) They collide head on and annihilate. What is the wavelength of the gamma rays produced in this collision?arrow_forwardAt what speed is the magnitude of the relativistic momentum of a particle three times the magnitude of the nonrelativistic momentum? O 0.999c O 0.707c O 0.333c O.0.943c 4arrow_forward
- 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.arrow_forwardAn 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.)arrow_forwardAn 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 fragmentsarrow_forward
- An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 3.20 ✕ 10−28 kg and that of the heavier fragment is 1.71 ✕ 10−27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment? ?carrow_forwardAn 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 fragmentsarrow_forwardParticle A has a rest energy of 1192 MeV and is moving through the laboratory in the positive x direction with a speed of 0.450c. It decays into particle B (rest energy = 1116 MeV) and a photon; particle A disappears in the decay process. Particle B moves at a speed of 0.400c at an angle of 3.03° with the positive x axis. The photon moves in a direction at an angle with the positive x axis. A 0.45c What are the 0.40c photon Ө 3.03⁰ B in MeVs and your answer in three significant digits. in degrees of the photon? Givearrow_forward
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