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The core of a star collapses during a supernova, forming a neutron star. and it collapses to 10.0 km, find the neutron star’s
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Chapter 34 Solutions
College Physics
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- The star HD 69830's mass is 1.7 ✕ 1030 kg, its radius is 6.3 ✕ 105 km, and it has a rotational period of approximately 35 days. If HD 69830 should collapse into a white dwarf of radius 7.8 ✕ 103 km, what would its period (in s) be if no mass were ejected and a sphere of uniform density can model HD 69830 both before and after?arrow_forwardAfter the Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. (a) Calculate the average density of the white dwarf. kg/m³ (b) Calculate the surface free-fall acceleration. m/s² (c) Calculate the gravitational potential energy associated with a 3.38-kg object at the surface of the white dwarf.arrow_forwardPlaskett's binary (also known as HD 47129) in the constellation Monoceros is a star system of two blue giant stars. The orbital speed of both stars has been found to be 250km/s and the period is 14.4days. Assuming that both stars are of equal mass, determine the mass of each star. (Optional problem. Hint: use your intuition about the orbits of these stars.)arrow_forward
- The inner binary of the Polaris system, Polaris Aa and Ab, has a period of29.6 yr. Polaris Aa has a mass of 5.4 Msun and Polaris Ab has a mass of1.3 Msun. (a) What is the semi-major axis of Polaris Aa? (b) What is thesemi-major axis of Polaris Ab? (Note: there should be no need to assumecircular orbits here)arrow_forwardAfter the Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. (a) Calculate the average density of the white dwarf. ?kg/m3(b) Calculate the surface free-fall acceleration. ?m/s2(c) Calculate the gravitational potential energy associated with a 1.88-kg object at the surface of the white dwarf. ?Jarrow_forwardBlack holes are difficult to observewith telescopes because they, bydefinition, don’t emit or reflect any light. They can be found by look-ing for other nearby objects orbit-ing them, however. Here is a dia-gram of a star in a circular orbit around a black hole. a. The period of the star’s orbit is 90 days, and its orbital radius around the black hole isobserved to be 3.6 : ×10^11 m. Find the orbital velocity of the star in units of m/s. (You need to convert 90 days to seconds, first). The circumference of a circle is 2πr. b. The mass of the star is known to be 4 × 10^30 kg. Find the centripetal acceleration of thestar and the strength of the gravitational force on the star. c. Find the mass of the black hole.arrow_forward
- We know that we can use Kepler's Laws to determine the orbits objects around one another. We also have learned that most stars orbit at least one other star (two stars orbiting each other is called a binary system). With this in mind, let's figure out the total mass of both stars of a binary system. Observing the spectra of the two stars orbiting one another, we determine the orbital period of this set of example stars around the system's center of mass to be 0.25 years (1/4 of a year) and the separation of the two stars to be 0.75 AU (3/4 of an AU). With this information, what is the sum of the mass of these two example stars orbiting each other?arrow_forward21arrow_forwardAfter the Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth.Calculate the average density of the white dwarf.Calculate the surface free-fall acceleration.Calculate the gravitational potential energy associated with a 6.69-kg object at the surface of the white dwarf.arrow_forward
- The Schwarzschild radius RBH for an object of mass M is defined as (See image.) where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass M. In other words, it gives the radius to which some amount of mass M would need to be compressed in order to form a black hole. 1. The mass of the Sun is about 1.99 × 1030 kg. What would be the radius of a black hole with this mass? 2. The mass of Mars is about 6.42 × 1023 kg. What would be the radius of a black hole with this mass? 3. Suppose you want to make a black hole that is roughly the size of an atom (take RBH = 1.10 x 10-10 m). What would be the mass M of such a black hole?arrow_forwardSuppose you observe a binary system containing a main-sequence star and a brown dwarf. The orbital period of the system is 1 year, and the average separation of the system is 1 AU . You then measure the Doppler shifts of the spectral lines from the main-sequence star and the brown dwarf, finding that the orbital speed of the brown dwarf in the system is 23 times greater than that of the main-sequence star. How massive is the brown dwarf in kg?arrow_forwardThe radius Rh of a black hole is the radius of a mathematicalsphere, called the event horizon, that is centered on the blackhole. Information from events inside the event horizon cannotreach the outside world. According to Einstein’s general theory ofrelativity, Rh = 2GM/c2, where M is the mass of the black hole andc is the speed of light.Suppose that you wish to study a black hole near it, at a radialdistance of 50Rh. However, you do not want the difference in gravitationalacceleration between your feet and your head to exceed10 m/s2 when you are feet down (or head down) toward the blackhole. (a) As a multiple of our Sun’s mass MS, approximately what isthe limit to the mass of the black hole you can tolerate at the givenradial distance? (You need to estimate your height.) (b) Is the limitan upper limit (you can tolerate smaller masses) or a lower limit(you can tolerate larger masses)?arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
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