The theory of relativity sets an upper limit on the speed that a particle can have. Are there also limits on the energy and momentum of a particle? Explain.
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The theory of relativity sets an upper limit on the speed that a particle can have. Are there also limits on the energy and momentum of a particle? Explain.
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- Starting with the definitions of relativistic energy and momentum, show that E2 =P2c2 +m2c4 (Eq. 26.13).Chapter 37, Problem 047 A 3-grain aspirin tablet has a mass of 192 mg. For how many kilometers would the energy equivalent of this mass power an automobile? Assume 12.07 km/L and a heat of combustion of 3.07 × 10' J/L for the gasoline used in the automobile. Number Unitsmeasured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…
- I Review I Constants I Periodic Table The position of a 55 g oscillating mass is given by T (t) = (1.7 cm) cos 13t, where t is in Part C seconds. Determine the spring constant. Express your answer in newtons per meter. Hνα ΑΣφ ? k = N/m Submit Request Answer Part D Determine the maximum speed. Express your answer in meters per second. Iνα ΑΣφ Umax = m/s Submit Request AnswerSince 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.
- 13Consider a proton moving with speed = 0.94 c. (c is the speed of light.) What is the kinetic energy, in MeV? (in MeV) OA: 1160 OB: 1449 OC: 1812 OD: 2265 OE: 2831 OF: 3539 OG: 4423 OH: 55292. An alternative derivation of the mass-energy formula E, = moc² also given by Einstein, is based on the principle that the location of the center of mass (CM) of an isolated system cannot be changed by any process that occurs inside the system. The Figure below shows a rigid box of length L that rests on a frictionless surface; the mass M of the box is equally divided between its two ends. A burst of electromagnetic radiation of energy E, is emitted by one end of the box. According to classical physics, the radiation has the momentum p = "0%c , and when it is emitted, the box recoils with the speed v z Eo/ so that the total momentum of Mc the system remains zero. After a time t z L/c the radiation reaches the other end of the box and is absorbed there, which brings the box to a stop after having moved the distance S. If the CM of the box is to remain in its original place, the radiation must have transferred mass from one end to the other. Show that this amount of mass is m, = c2.
- Calculate the kinetic energy of on electron whose momentum is 2 Mev/c. b) Calculate the Velocfty of electron whose kinetic energy is 2 Mev.Particle track detectors are used to measure the speed of particles if the lifetime of the particle is known. Particle X has a lifetime of 256.2 ps. These particles are created in an experiment inside the detector by a given reaction. The particles leave 21.6 cm long tracks on average before they decay into other particles not observable by the detector.What is the average speed of the particles in terms of the speed of light?