Two electrons, each with a kinetic energy of 3.55 MeV, collide head-on to produce a new particle. Calculate the rest energy of this new particle.
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- 7. Borg ships are cubical. A Borg ship is approaching earth. According to an observer on earth, the Borg ship is 1000 m high, 1000 m wide, and has a depth of 100 m. Earth launches a photon torpedo to destroy the Borg ship. The torpedo is launched from earth with a velocity of 0.95c. The torpedo was set on earth to go off in 2 hr. 999 Earth 0.95 c V 1 100 m 1000 m a) With what velocity is the Borg ship approaching earth? b) What is the speed of the torpedo as measured by an observer on the Borg ship? c) According to an observer on the Borg ship, how long will it take the torpedo to explode?Question Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each lump has a mass of 0.500 kg and is moving at a speed of 0.930c. The two lumps collide and stick together. Answer the questions, keeping in mind that relativistic effects cannot be neglected in this case. What is the final speed vf of the combined lump, expressed as a fraction of c? Uf = What is the final mass mf of the combined lump immediately after the collision, assuming that there has not yet been significant energy loss due to radiation or fragmentation? mf = kg9. In a proton linear accelerator, protons are accelerated to have a kinetic energy of 5.50 relativistic momentum? t kg.m/s 60 ssf60 s ssf60 ssfot 09588 098 10-11 J. What is their ssf60 ssfo 093
- Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 3.30 mm3.30 mm away from the Earth? The density of water is ?water=1.00kg/literρwater=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kgMearth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kgMmoon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 mdE,M=3.84×108 m.Student claims that a material particle must always move at a slower speed than light, and a massless particle must always move at the same speed as light. Is what she claims true? If this is the case, how can massless particles like photons and neutrinos get their speed? Isn't it possible to speed from a standstill? Explain.Particle Accelerator: Particle accelerators like CERN are designed to turn energy into new particles: E = mc². What minimum speed does a single electron need in order to create 9 additional electrons in a collision?
- Q4. A neutron at rest decays into a proton with a decay energy of 0.782 Me. What will be the maximum kinetic energy of the residual proton?A Carbon-14 nucleus is initially at rest but emits two particles of radiation; one with momentum 5.8x10-21kgm/s[E], and another with momentum 4.5x10-21kgm/s[S]. If the residual Carbon-14 mass is 2.3x10-26kg; a. Determine the residual Carbon 14 momentum magnitude b. Determine the residual Carbon 14 momentum direction c. determine the residual Carbon 14 velocity.In 1977 the planet Alderaan, with a mass of 3 x 1024 kg, exploded. Assuming it was initially at rest and experienced no external interactions, 3. A) If the planet blew apart into two pieces with 40% of its mass flying away in one piece at 4,000 km/s, what speed did the rest of the planet have relative to its original frame? B) If the planet blew apart into three pieces, with 30% of its mass flying away at 3,000 km/s, and 20% of its mass flying away at 5,000 km/s at an angle of 120° relative to the velocity direction of the first fragment, what velocity did the rest of the planet have? Report the direction by specifying its angle relative to the velocity direction of the first fragment.
- 1. Based on the problem below, if a crew member on the spaceship measures itslength to be 400 m, what is the length measured by an observer on earth? a. 34.2 mb. 44.1 mc. 56.4 md. 78.2 m 2. Based on the problem below, how far does the ship travel in relation to theearth during each pulse? a. 1.35 kmb. 4.21 kmc. 83.8 kmd. 94.5 kmSuppose that two identical particles with rest mass m and non-zero velocities and respectively in the Lab frame collide to form a single particle with rest mass M. Which one of the following statements is correct? Select one: O a. None of the other answers is correct. O b. Mis equal to the sum of the rest masses of the original particles. O c. Mis less than the sum of the original rest masses. O d. Mis greater than the sum of the original rest masses.2. 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.