How much energy would be required to break a heliumnucleus into its constituents, two protons and twoneutrons? The 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 calledthe total binding energy of the He nucleus.)

mass of neutron, mn= 1.00867 u mass of proton, mp = 1.00783 u mass of helium, mHe = 4.00260 u

Answered: How much energy would be required to…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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There is a free neutron that is at rest. It decays into a proton (mass energy is 938.30 MeV), an electron (mass energy is 0.50 MeV, and an antineutrino (mass energy is negligible on the scale of MeV). What is the total kinetic energy of the decay products?
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 85.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 2.90 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's mass is Mearth = 5.97 x 1024 kg, the Moon's mass is Mmoon = 7.36 x 10²² kg, and the separation of the Earth and Moon is deM = 3.84 × 10% m. water: Liters
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.
The muon is an unstable subatomic particle witha mean lifetime of 2.2 μs, and about 10,000 muons reach everysquare meter of the earth's surface a minute. A muon has a linear momentum G, and after some short time it decays into two other elementary particles with masses m1 and m2. The energy Q released during the decay is converted entirely into the kinetic energy of the decay products (i.e., into kinetic energy of m1 and m2). Find linear momenta of decay products. Draw a vector diagram showing a range of momenta decay products can take.
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.
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Protons in a University accelerator are accelerated to a kinetic energy of 16 times their rest energy. (a) What is the relativistic factor gamma for these protons? (b) What is the speed of these protons? (express in terms of c, the speed of light) (c) What is their kinetic energy in MeV? (d) What is the rest energy of the protons? (e) What is their momentum in MeV/c?
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…
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 61.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 1.70 mm away from the Earth? The density of water is ?water=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 m.
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?

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