After 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. 1.8e9 v kg/m3 (b) Calculate the surface free-fall acceleration. 3.2e6 v m/s? (c) Calculate the gravitational potential energy associated with a 4.36-kg object at the surface of the white dwarf. -9.04e19 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read It

After 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. 1.8e9 v kg/m3 (b) Calculate the surface free-fall acceleration. 3.2e6 v m/s? (c) Calculate the gravitational potential energy associated with a 4.36-kg object at the surface of the white dwarf. -9.04e19 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read It

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 23P

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After 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. ?J
After 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 4.36-kg object at the surface of the white dwarf. Need Help? Read It
After the Sun exhausts its nuclear fuel, its ultimate fate will 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 (in kg/m³). |kg/m3 (b) Calculate the surface free-fall acceleration (in m/s). m/s? (c) Calculate the gravitational potential energy (in J) associated with a 5.61 kg object at the surface of the white dwarf. (d) What If? The escape speed from the "surface" of the Sun, or a distance equal to its radius, is 617.5 km/s. What would be the escape speed (in km/s) from the surface of the white dwarf? km/s
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The typical core-collapse supernova has an energy budget of about 1046 J. This energy comes from the gravitational potential energy of an inner core with mass Mic, which collapses from an initial radius of 5 x 106 m down to the final radius of 50 km. Estimate Mic, in solar masses, for this to be a realistic energy source of the core-collapse supernova. You may assume that the density before the collapse is uniform. Discuss briefly how a Type la supernova is different from a core-collapse supernova from a massive star?
After 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. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg/m3 (b) Calculate the surface free-fall acceleration. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s? (c) Calculate the gravitational potential energy associated with a 6.69-kg object at the surface of the white dwarf. The response you submitted has the wrong sign. J Need Help? Read It
After 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.
Compact objects and black-holes 2. Consider three compact objects in the form of: a white dwarf of 0.5Mo; a neutron star of 1.4Mo and a black-hole of 50 Mo. The radii of the white dwarf and neutron star are: Rwp 5.5 106 m and and RNS 10 Km. (a) Determine the radii of curvature Re = c2/g (where c is the speed of light and g is the local gravitational acceleration) around cach objcct specifying which radius you assume for the BH.
A spinning neutron star of mass M=1.4 solar masses, constant density, and radius R=10 km has a period P=1s. The neutron star is accepting mass from a binary companion through an accretion disk, at a rate of dM/dt=10^-9 solar masses per year. Assume the accreted matter is in a circular Keplerian orbit around the neutron star until just before it hits the surface, and once it does then all of the matter's angular momentum is transferred onto the neutron star. Derive a differential equation for dP/dt, the rate at which the neutron-star period decreases. *I know the formula for the inertial of a uniform-density sphere is equal to .4MR^2, the relationship between the period and angular velocity is (omega)=2pi/(P), and the rotational kinetic energy is .5I(omega)^2 (don't know if this one is important for the problem but here it is anyways)*
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?
What is the Schwarzschild radius (in km) of a 6Msun black hole? What fraction of the Earth's radius is this? What percent of the speed of light (2.998 x 108 m/s) is the escape velocity at the Schwarzschild radius? Part 1 of 3 The Schwarzschild radius of a black hole is given by: 2GM Rs = c2 so for the given mass, 2G(6)(Msun) Rs c2 where M. Sun = 1.99 x 1030 kg. Then convert this into kilometers using 1 km = 1,000 m. Rs km
A nova dwarf has: mass 0.85 Mʘ, radius 0.0095 Mʘ, transfer rate ofmass 5.0 × 10-10 Mʘ / year during its active phase lasting 10 days. Estimate the total energy released and the absolute brightness of dwarf nova during the active phase.