How much energy would be required to break a helium nucleus into its constituents, two protons and two neutrons? The rest masses of a proton (including an electron), a neutron, and neutral helium are, respectively, 1.00783 u, 1.00867 u, and 4.00260 u. (This energy difference is called the total binding energy of the He nucleus.)
Q: lectron (rest mass m = 9.11x10 -31 kg ) has total energy that is 4.95 times its rest energy. What is…
A: Givenm=9.11×10-31 kg Total energyE that is 4.95 times its rest energyEo.E=4.95 Eo
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Q: During a nuclear reaction, 1.7 × 10-4 J of energy is released. What is the resulting change in mass…
A: Energy, E = 1.7×10-4 Jc = 3.00 × 108 m/sMass, ∆m = ?
Q: The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a…
A: The initial mass of the 14C is M1 = 2.34x10-26 kg. The 14C undergoes decay and emits electron and…
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Q: A carbon nucleus has mass 1.02e-26 kg. If its speed |v| is 0.982c (that is, |v|/c = 0.982), what are…
A: Mass (m) = 1.02× 10-26 kg V/c = 0.982
Q: A chain of nuclear reactions in the Sun's core converts four protons into a helium nucleus. (Use…
A: mp = 1.67262 x 10-27 kg mh = 6.64466 x 10-27 kg ∆m = ? E = ?
Q: nuclear power reactor generates 3.5 × 109 W of power. In one year (365.25 days), what is the change…
A: Power is P=3.5×109 W Time is t=365.25 days Note: 1 day=24 h 1 h=60 min. 1 min.=60 s 1 J=1 Nm 1 N=1…
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Q: A proton has rest mass 1.67x10-27kg and momentum 5.00x10-19kg m/s. Find the ratio of the kinetic…
A: Given : Rest mass (m) = 1.67 * 10 -27 kg Momentum(p) = 5* 10-19 kg.m/s
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Q: The mass of an electron is 9.109 381 88 x 10-31kg. Find (a) y and (b) 3 for an electron with kinetic…
A: Given that, Mass of electron, m = 9.10938188 * 10-31 kg Kinetic energy, E = 32.1024 MeV We know…
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A: A.Mass of pion:mπ=140 MeV/c2=140×106×1.6×10-19(3×108)2=2.49×10-28 kgSpeed, v=9.81×103 km/s=9.81×106…
Q: A Neptunium-237 nucleus, initially at rest, decays by emitting an alpha particle. The resulting…
A: Mass of Neptonium, MNp = 237 u Mass of protactinium, Mpa = 233 u Mass of alpha particle, Malpha = 4…
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Q: An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays…
A: Mass of an unstable particle: m = 3.34 ✕ 10−27 kg Velocity of first fragment: v1 = 0.981 c Velocity…
Q: Uranium-238 decays via the alpha decay process. Part (a) Calculate the energy released in units…
A: Step 1: Radioactive Decay: The process by which an unstable atomic nucleus emits energy and…
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- Either all parts or none..The carbon isotope 14C is used for carbon dating of objects. A 14C nucleus can change into a different kind of element, a neighbor on the periodic table with lower mass, by emitting a beta particle – an electron or positron – plus a neutrino or an anti-neutrino. Consider the scenario where 14C ( mass of 2.34 x 10 -26) decays by emitting an electron and anti neutrino. The electron has a mass of 9.11x 10-31 kg and a speed of 5.5 x107 m/s. While the anti neutrino has a momentum of 8.5x10-24 kg-m/s. If the electron and anti neutrino are emitted at right angles from each other, calculate the recoil speed of the nucleus.The mass of an electron is 9.109 381 88 x 10-31kg. Find (a) y and (b) 8 for an electron with kinetic energy 64.3794 MeV. (a) Number i Units (b) Number Units
- A futuristic rocket ship of mass m,hip = 6.0 × 10° kg is sent into space carrying one person with the goal of traveling to nearby stars. The ship uses a newly discovered matter-antimatter drive that converts matter into energy at 100% efficiency. We will take Earth as the rest frame. For parts (a) through (d) you are interested in the portion of the spaceship's travel where it is using its drive to convert matter into the kinetic energy of the ship. (a) What is the speed of the ship when the work done by the ship's drive is equal to 150,000 TWh (the total energy used by humanity in 2014)? (b) How much work must the drive do for the rocket to reach a final speed of 0.95c? (c) How much matter would the drive need to annihilate in order for the ship to reach the final speed of 0.95c? Assume that the matter used in the antimatter drive is collected from the interstellar medium and that the mass of the ship remains constant. (d) When at the final speed of 0.95c, by what factor is the ship's…The sun generates energy through nuclear fusion, which converts mass intoenergy. If the sun radiates 3.8 × 1026 W of power, calculate the rate at which the sun loses mass (i.e., kg/s). _________×109kg/s ? Compare the energy produced per kg of fuel for the combustion of coal, d-d fusion and d-t fusion.d-d: __________ ×107 MJ/kg?d-t: ___________×108 MJ/kg ? The age of the sun has been estimated at 4.6 billion years. If it has radiatedenergy at the same rate throughout its lifetime, 3.8×1026 W and if its current mass is1.989×1030 kg, what fraction of its original mass has been lost _____________% ?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
- Nuclear Fusion Reaction In a human-scale model of a nuclear fusion reaction, two "deuterons" smash together head-on. Each has a mass of 2.0147kg and is moving at speed vd. The result is a "Helium-3 nucleus" (mass 3.0160kg) and a separate "neutron" (mass 1.0090kg пс ). Amazingly, this reaction produces a positive Wn of 3.96 × 10 14 J -- by converting mass into kinetic energy as predicted by Einstein's E = mc². The "neutron" moves with a speed of un after the reaction. E 4 Vd 1.63×107 m S Type your answer... + D D 3Не N. Proton Neutron http://fusion.srubar.net Un ×107: m S &The Sun produces energy at a rate of 4.00 x 1026 W by the fusion of hydrogen. How many kilograms of mass is the Sun losing per second?The energy radiated by the Sun comes from the conversion of mass into energy during fusion reactions of hydrogen nuclei to produce helium nuclei. Currently, these reactions allow the Sun to emit light radiation at a power of approximately 4 · 104 w. Assuming that this power has been maintained since the birth of the Sun, about 5 · 10° years ago, the mass corresponding to that lost by the Sun until today is closer to Info: Speed of light in vacuum: 3 · 108 m 1 year has approximately 3 · 107 seconds. The equations that relates energy to mass is E m· c2. 1037 kg 1017 kg 1047 kg 1027 kg 107 kg
- A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 19 x 106 m/s, causing the two particles to annihilate.If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 10-4 u, or 9.109 x 10-31 kg.Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.General Physics II #3 #38