1. (15 pts) A moving hydrogen atom (rest mass = 939 MeV/c², wherec is the speed of light in vacuum) has a kinetic energy of 313 MeV. %3D (a) What is the total energy of this atom in MeV? (b) What is this particle's speed in terms of c? (c) What is the magnitude of this atom's linear momentum?
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- A moving hydrogen atom (rest mass = 939 MeV/c2, where c is the speed of light in vacuum) has a kinetic energy of 313 MeV. (a) What is the total energy of this atom in MeV? (b) What is this particle's speed in terms of c? (c) What is the magnitude of this atom's linear momentum?An electron has total energy 2.50 MeV. Find (a) its kinetic energy and (b) its speed.(Q4): What is the momentum (in MeV/c) of a 1200-MeV proton (that is, its kinetic energy is 1200 MeV)?
- 8. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 500 MeV. What is their relativistic momentum? (The rest mass of a proton is 1.67 × 10-27 kg.) kg.m/sAn elementary particle has an average lifetime of 2.60*10^-8s. In a high-energy particle accelerator, these particles reach a very high speed and are found to have a lifetime of 2.60*10^-7s. What speed are the particles moving at in this experiment? a) 10.0 c b) .999c c) .995c d) .955c e) .880c f) .5c2. The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = J F dx. Writing Newton's second law as F = dp/dt, show that W = Jv dp and integrate by parts using the relativistic momentum to obtain mc2 mc K = VI - v/c² |
- What is the velocity of an electron that has a momentum of 3.6 × 10-2¹kgm/s? Electron mass is 0.911 × 10-30kg. Note: Give an answer accurate to ten-thousandth place (4 places after decimal). Hint The velocity of the electron is C.An 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?What is the kinetic energy of an electron if its speed is 0.992c?
- 2. Twin sisters, Anna and Zelma, are twenty years old. Anna stays on the Earth while Zelma gets on a 20.0-meter-long spaceship that travels at constant speed 0.98c to a distant star. The star is 9.00 lightyears away as measured by Anna. Zelma immediately turns around and travels back to the Earth at the same speed of 0.98c. a) What length does Anna measure for the spaceship while it is moving? b) Upon Zelma's return, which twin is seen to be older now on Earth and what is the age difference?9) A rocket with a speed of 0.5 c is moving toward a stationary observer. It is putting out a light ray with a wavelength of 500 nm. What is the speed of that light ray as seen by the stationary observer? 10) In (9) what is the wavelength of the light as seen by the stationary observer? 11) If the light ray in (9) is pulsed so that to an observer on the rocket there are 100 pulses every second, what is the number of pulses per second as seen by the stationary observer? (Note that this, in essence creates a clock on the rocket).Consider a proton moving with speed = 0.8 c. (c is the speed of light.) What is the kinetic energy, in MeV? (in MeV) OA: 256.2 B: 320.3 C: 400.3 D: 500.4E: 625.5 OF: 781.9 OG: 977.4 OH: 1222 C