Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 11, Problem 32QAP
To determine
The significance of the mass lost in the proton-proton chain.
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The total mass of the Earth plus you while you're on the Earth is lighter than the sum of the masses of the Earth and you.
a) Why is this?
b) Assuming the gravitational binding energy is GMm/r - calculate the difference.
129. In 1999, scientists discovered a new class of black holes with
masses 100 to 10,000 times the mass of our sun but occu-
pying less space than our moon. Suppose that one of these
black holes has a mass of 1 × 10° suns and a radius equal to
one-half the radius of our moon. What is its density in grams
per cubic centimeter? The mass of the sun is 2.0 × 10º kg,
and the radius of the moon is 2.16 × 10° mi. (Volume of a
4
sphere =Tr.)
3
The Sun is powered by releasing hydrogen to helium. Through either the proton-proton chain or the CNO cycle, the basic reaction is 4 1H morph into 1 4He, releasing nuclear binding energy (and losing mass) in the process. The mass of one proton 1H is 1.6726 x 10-24 gm and the mass of one helium nucleus 4He is 6.6447 x 10-24 gm.
What is the mass difference in gm between 4 protons and one helium nucleus? Calculate the ratio of the mass difference to the original mass of the 4 protons as a comparison.
Chapter 11 Solutions
Understanding Our Universe
Ch. 11.1 - Prob. 11.1CYUCh. 11.2 - Prob. 11.2CYUCh. 11.3 - Prob. 11.3CYUCh. 11.4 - Prob. 11.4CYUCh. 11 - Prob. 1QAPCh. 11 - Prob. 2QAPCh. 11 - Prob. 3QAPCh. 11 - Prob. 4QAPCh. 11 - Prob. 5QAPCh. 11 - Prob. 6QAP
Ch. 11 - Prob. 7QAPCh. 11 - Prob. 8QAPCh. 11 - Prob. 9QAPCh. 11 - Prob. 10QAPCh. 11 - Prob. 11QAPCh. 11 - Prob. 12QAPCh. 11 - Prob. 13QAPCh. 11 - Prob. 14QAPCh. 11 - Prob. 15QAPCh. 11 - Prob. 16QAPCh. 11 - Prob. 17QAPCh. 11 - Prob. 18QAPCh. 11 - Prob. 19QAPCh. 11 - Prob. 20QAPCh. 11 - Prob. 21QAPCh. 11 - Prob. 22QAPCh. 11 - Prob. 23QAPCh. 11 - Prob. 24QAPCh. 11 - Prob. 25QAPCh. 11 - Prob. 26QAPCh. 11 - Prob. 27QAPCh. 11 - Prob. 28QAPCh. 11 - Prob. 29QAPCh. 11 - Prob. 30QAPCh. 11 - Prob. 31QAPCh. 11 - Prob. 32QAPCh. 11 - Prob. 33QAPCh. 11 - Prob. 34QAPCh. 11 - Prob. 35QAPCh. 11 - Prob. 36QAPCh. 11 - Prob. 37QAPCh. 11 - Prob. 38QAPCh. 11 - Prob. 39QAPCh. 11 - Prob. 40QAPCh. 11 - Prob. 41QAPCh. 11 - Prob. 42QAPCh. 11 - Prob. 43QAPCh. 11 - Prob. 44QAPCh. 11 - Prob. 45QAP
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- During most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. A star with the mass (M=2.0×10^30kg) and size (R=3.5×10^8m) of our sun rotates once every 29.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s. By treating the neutron star as a solid sphere, deduce its radius.arrow_forwardDuring most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. A star with the mass (m=2.0×10^30kg) and size (R=3.5×10^8m) of our sun rotates once every 35.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s. By treating the neutron star as a solid sphere, deduce its radius. What is the…arrow_forwardDuring most of its lifetime, a star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen "fuel" is consumed by nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. These "pulsing stars" were discovered in the 1960s and are called pulsars. Part A A star with the mass (M = 2.0 × 10³0 kg) and size (R = 3.5 × 108 m) of our sun rotates once every 33.0 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.200 s. By treating the neutron star as a solid sphere, deduce its radius.…arrow_forward
- a) Determine the wavelength of light (6563A) observed by a distant observer that is emitted by a source at rest: i) at a radius of r = 2.2M outside a black hole of mass M = 1 Ma. ii) where = -6x 10-5.arrow_forwardIn 1999 scientists discovered a new class of black holes with masses 100 to 10,000 times the mass of our sun but occupying less space than our moon. Suppose that of these black holes has a mass of 1x10^3 sun's and radius equal to one-half the radius of our moon. What is the density in grams per cubic centimeter? The mass of the sun is 2.0x10^30 kg and the radius of the moon is 2.16x10^3 mi.arrow_forwardThe sun generates its energy through nuclear fusion, making helium from hydrogen. The main process by which this happens, called the proton-proton chain, goes as follows: Two protons come together to create deuterium, a positron, a neutrino, and energy: p + p ⟶ D + e+ + ν + energy The deuterium fuses with another proton to make 3He: D + p ⟶ 3He + energy Fianlly, 4He is produced by fusing two 3He nuclei together: 3He + 3He ⟶ 4He + p + p + energy What is the total energy released during the creation of one 4He nucleus? Give your answer in MeV, and remember that you need to make two 3He nuclei in the process. Be sure to use at least five significant figures for your masses, but your final answer should have three or four sig figs.arrow_forward
- Which particle has the largest mass? and How do nuclear decay reactions help explain the difference in the mass of the proton and neutron?arrow_forwardHelpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-¹0 N (c) 2.3 × 10-19 N (d) 4.6 × 10-19 N eplacing the voltage sou the following inst choices below time != 1.00 37 instantaneous currentarrow_forwardSuppose a cyclotron is operated at an oscillator frequency of 12 MHz ( MegaHertz) and has a radius of R=53 cm. A deuteron, an isotope of hydrogen, consisting of a proton and a neutron and therefore having the same charge as a proton is to be accelerated in the cyclotron. Its mass, m=3.24 x10-27 kg. What is the resulting kinetic energy of the deuteron? Explain in not less than 3 sentences.arrow_forward
- a) Determine the wavelength of light (6563A) observed by a distant observer that is emitted by a source at rest: i) at a radius of r = 2.2M outside a black hole of mass M = 1 Mo. ii) where = -6x 10-5.arrow_forward28) The rest mass of a proton is 0.940 GeV/c2. The rest mass of the up quark (u) is 0.002 GeV/c2 and the down quark (d) is 0.005 GeV/c2. Three quarks combine to make a proton (uud). If this is written as particle reaction with quarks as the reactants and a proton as the product what is the mass ratio between reactants and products?arrow_forward28) The rest mass of a proton is 0.940 GeV/c2. The rest mass of the up quark (u) is 0.002 GeV/c2 and the down quark (d) is 0.005 GeV/c2. Three quarks combine to make a proton (uud). If this is written as particle reaction with quarks as the reactants and a proton as the product what is the mass ratio between reactants and products? Group of answer choices 1 part per million 1 percent 10 percent 1 part per thousandarrow_forward
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