(iii) A proton having mass 938 MeV/c² has a total energy of 1400 MeV. Find (a) The speed u of the proton (b) Yp (c) The momentum of the proton
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- 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(a) A person's "resting" heart rate is his or her normal heart rate measured while sitting still (and long after doing anything physically exerting). A nurse on Earth measures the resting heart rate of a patient as 62.0 beats/min. Imagine the patient travels aboard a spacecraft moving with a constant speed of 0.89c with respect to the Earth. What would be the patient's resting heart rate (in beats/min) as measured by someone else aboard the spacecraft? beats/min (b) Imagine an observer on Earth could measure the resting heart rate of the patient traveling aboard the spacecraft. What rate (in beats/min) would the observer on Earth measure? beats/minSince 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.The nonrelativistic expression for the momentum of a particle, p = mv, can be used if v « c. For what speed does the use of this formula give the following errors in the momentum? (а) 6.00% C (b) 11.0% CAn 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 MeV(a) Calculate Ƴ for a proton that has a momentum of 1.00 kg.m/s. (b) What is its speed? Such protons form a rare component of cosmic radiation with uncertain origins.