Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 37, Problem 42P
To determine
To find:
Minimum energy required to break a nucleus of 12C into three nuclei of 4He.
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What is the minimum energy that is required to break a nucleus of 12C (of mass 11.996 71 u) into three nuclei of 4He (of mass 4.001 51 u each)?
The 216Po nucleus is unstable and exhibits radioactivity. It decays to 212Pb by emitting an alpha particle. The relevant masses, in atomic mass units, are mi = m(216Po) = 216.001 914 u and mf = m(212Pb) + m(4He) = 211.991 898 u 1 4.002 603 u.(A) Find the mass change of the system in this decay. (B) Find the Q value for this decay.
The atomic mass of 14C is 14.003242 u. (a) Can the β- decay of 14C occur spontaneously? Explain. What is the value of the disintegration energy Q? The atomic masses of 14N (Z=7) and of 14B (Z=5) are respectively, 14.003074 u and 14.025404 u. (b) What becomes of this energy Q?
Chapter 37 Solutions
Fundamentals of Physics Extended
Ch. 37 - A rod is to move at constant speed v along the x...Ch. 37 - Figure 37-16 shows a ship attached to reference...Ch. 37 - Reference frame S' is to pass reference frame S at...Ch. 37 - Figure 37-17 shows two clocks in stationary frame...Ch. 37 - Figure 37-18 shows two clocks in stationary frame...Ch. 37 - Sam leaves Venus in a spaceship headed to Mars and...Ch. 37 - The plane of clocks and measuring rods in Fig....Ch. 37 - The rest energy and total energy, respectively, of...Ch. 37 - Figure 37-20 shows the triangle of Fig 37-14 for...Ch. 37 - While on board a starship, you intercept signals...
Ch. 37 - Figure 37-21 shows one of four star cruisers that...Ch. 37 - The mean lifetime of stationary muons is measured...Ch. 37 - To eight significant figures, what is speed...Ch. 37 - You wish to make a round trip from Earth in a...Ch. 37 - Come back to the future. Suppose that a father is...Ch. 37 - ILW An unstable high-energy particle enters a...Ch. 37 - GO Reference frame S' is to pass reference frame S...Ch. 37 - The premise of the Planet of the Apes movies and...Ch. 37 - An electron of = 0.999 987 moves along the axis...Ch. 37 - SSM A spaceship of rest length 130 m races past a...Ch. 37 - A meter stick in frame S' makes an angle of 30...Ch. 37 - A rod lies parallel to the x axis of reference...Ch. 37 - The length of a spaceship is measured to be...Ch. 37 - GO A space traveler takes off from Earth and moves...Ch. 37 - A rod is to move at constant speed v along the x...Ch. 37 - GO The center of our Milky Way galaxy is about 23...Ch. 37 - Observer S reports that an event occurred on the x...Ch. 37 - SSM WWW In Fig. 37-9, the origins of the two...Ch. 37 - Inertial frame S' moves at a speed of 0.60c with...Ch. 37 - An experimenter arranges to trigger two flashbulbs...Ch. 37 - GO As in Fig. 37-9, reference frame S' passes...Ch. 37 - Relativistic reversal of events. Figures 37-25a...Ch. 37 - For the passing reference frames in Fig. 37-25,...Ch. 37 - ILW A clock moves along an x axis at a speed of...Ch. 37 - Bullwinkle in reference frame S' passes you in...Ch. 37 - In Fig. 37-9, observer S detects two flashes of...Ch. 37 - In Fig. 37-9, observer 5 detects two flashes of...Ch. 37 - SSM A particle moves along the x' axis of frame S'...Ch. 37 - In Fig. 37-11, frame S' moves relative to frame S...Ch. 37 - Galaxy A is reported to be receding from us with a...Ch. 37 - Stellar system Q1 moves away from us at a speed of...Ch. 37 - SSM WWW ILW A spaceship whose rest length is 350 m...Ch. 37 - GO In Fig. 37-26a, particle P is to move parallel...Ch. 37 - GO An armada of spaceships that is 1.00 ly long as...Ch. 37 - A sodium light source moves in a horizontal circle...Ch. 37 - SSM A spaceship, moving away from Earth at a speed...Ch. 37 - Prob. 36PCh. 37 - Assuming that Eq. 37-36 holds, find how fast you...Ch. 37 - Figure 37-27 is a graph of intensity versus...Ch. 37 - SSM A spaceship is moving away from Earth at speed...Ch. 37 - How much work must be done to increase the speed...Ch. 37 - SSM WWW The mass of an electron is 9.109 381 88 ...Ch. 37 - Prob. 42PCh. 37 - How much work must be done to increase the speed...Ch. 37 - In the reaction p 19F 16O, the masses are mp =...Ch. 37 - In a high-energy collision between a cosmic-ray...Ch. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - GO The mass of a muon is 207 times the electron...Ch. 37 - GO As you read this page on paper or monitor...Ch. 37 - To four significant figures, find the following...Ch. 37 - ILW What must be the momentum of a particle with...Ch. 37 - Apply the binomial theorem Appendix E to the last...Ch. 37 - Prob. 53PCh. 37 - GO What is for a particle with a K = 2.00E0 and b...Ch. 37 - Prob. 55PCh. 37 - a The energy released in the explosion of 1.00 mol...Ch. 37 - Quasars are thought to be the nuclei of active...Ch. 37 - The mass of an electron is 9.109 381 88 1031 kg....Ch. 37 - GO An alpha particle with kinetic energy 7.70 MeV...Ch. 37 - Temporal separation between two events. Events A...Ch. 37 - Spatial separation between two events. For the...Ch. 37 - GO In Fig. 37-28a, particle P is to move parallel...Ch. 37 - Superluminal jets. Figure 37-29a shows the path...Ch. 37 - GO Reference frame S' passes reference frame S...Ch. 37 - Another approach to velocity transformations. In...Ch. 37 - Continuation of Problem 65. Use the result of part...Ch. 37 - Continuation of Problem 65. Let reference frame C...Ch. 37 - Figure 37-16 shows a ship attached to reference...Ch. 37 - Prob. 69PCh. 37 - An airplane has rest length 40.0 m and speed 630...Ch. 37 - SSM To circle Earth in low orbit, a satellite must...Ch. 37 - Prob. 72PCh. 37 - SSM How much work is needed to accelerate a proton...Ch. 37 - A pion is created in the higher reaches of Earths...Ch. 37 - SSM If we intercept an electron having total...Ch. 37 - Prob. 76PCh. 37 - A spaceship at rest in a certain reference frame S...Ch. 37 - Prob. 78PCh. 37 - SSM What is the momentum in MeV/c of an electron...Ch. 37 - The radius of Earth is 6370 km, and its orbital...Ch. 37 - A particle with mass m has speed c/2 relative to...Ch. 37 - An elementary particle produced in a laboratory...Ch. 37 - What are a K, b E, and c p in GeV/c for a proton...Ch. 37 - A radar transmitter T is fixed to a reference...Ch. 37 - One cosmic-ray particle approaches northsouth axis...Ch. 37 - How much energy is released in the explosion of a...Ch. 37 - What potential difference would accelerate an...Ch. 37 - A Foron cruiser moving directly toward a Reptulian...Ch. 37 - In Fig. 37-35, three spaceships are in a chase....Ch. 37 - Space cruisers A and B are moving parallel to the...Ch. 37 - In Fig. 37-36, two cruisers fly toward a space...Ch. 37 - A relativistic train of proper length 200 m...Ch. 37 - Particle A with rest energy 200 MeV is at rest in...Ch. 37 - Figure 37-37 shows three situations in which a...Ch. 37 - Ionization measurements show that a particular...Ch. 37 - Prob. 96PCh. 37 - Prob. 97PCh. 37 - An astronaut exercising on a treadmill maintains a...Ch. 37 - A spaceship approaches Earth at a speed of 0.42c....Ch. 37 - Prob. 100PCh. 37 - In one year the United States consumption of...Ch. 37 - Quite apart from effects due to Earths rotational...Ch. 37 - Prob. 103P
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- (a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward(a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardThe electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?arrow_forward
- (a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forwardThe electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical power. What is the thermal nuclear power output in megawatts? How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? What mass of 235U is fissioned in 1 year of full-power operation?arrow_forwardDerive an approximate relationship between the energy of (decay and halflife using the following data. It may be useful to graph the leg t1/2 against Ea to find some straightline relationship. Table 31.3 Energy and HalfLife for (Decay Nuclide E( (MeV) t1/2 216Ra 9.5 0.18 (s 194Po 7.0 0.7 s 240Cm 6.4 27 d 226Ra 4.91 1600 y 232Th 4.1 1.41010yarrow_forward
- (a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forwardSuppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0arrow_forward(a) Write the complete + decay equation for llC. (b) Calculate the energy released in the decay. The masses of 11C and 11B are 11.011433 and 11.009305 u, respectively.arrow_forward
- (a) Write the complete decay equation for 90Sr, a major waste product of nuclear reactors, (b) Find the energy released in the decay.arrow_forward(a) How much energy would be released if the proton did decay 1uria the conjectured reaction (b) Given that the decays to two (s and that the will find an electron to annihilate, what total energy is ultimately produced in proton decay? (c) Why is this energy greater than the proton's total mass (converted to energy)?arrow_forwardThe ceramic glaze on a red-orange “Fiestaware” plate is U2O3and contains 50.0 grams of 238U, but very little 235U. (a) What is the activity of the plate? (b) Calculate the total energy that will be released by the 238U decay, (c) If energy is worth 12.0 cents per kWh , what is the monetary value of the energy emitted? (These brightly- colored ceramic plates went out of production some 30 years ago, but are still available as collectibles.)arrow_forward
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