The Cosmic Perspective (9th Edition)
9th Edition
ISBN: 9780134874364
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 18, Problem 57EAP
To determine
The age of Crab Nebula pulsar.
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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)*
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RN = neutron star radius = 1 × 104 kmM N = neutron star mass = 3 × 1030 kgG = universal gravitational constant = 6.67 × 10-11 N m2 / kg2g⊕ = Earth gravitational acceleration = 9.807 m/s²
Chapter 18 Solutions
The Cosmic Perspective (9th Edition)
Ch. 18 - Prob. 1VSCCh. 18 - Prob. 2VSCCh. 18 - Prob. 3VSCCh. 18 - Prob. 4VSCCh. 18 - Prob. 5VSCCh. 18 - Prob. 1EAPCh. 18 - Prob. 2EAPCh. 18 - Prob. 3EAPCh. 18 - Prob. 4EAPCh. 18 - Prob. 5EAP
Ch. 18 - Prob. 6EAPCh. 18 - Prob. 7EAPCh. 18 - Prob. 8EAPCh. 18 - Prob. 9EAPCh. 18 - 10. In what sense is a black hole like a hole in...Ch. 18 - Il. What do we mean by the singularity of a black...Ch. 18 - Prob. 12EAPCh. 18 - Prob. 13EAPCh. 18 - Prob. 14EAPCh. 18 - Prob. 15EAPCh. 18 - Prob. 16EAPCh. 18 - Prob. 18EAPCh. 18 - Prob. 19EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 21EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 23EAPCh. 18 - Prob. 24EAPCh. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Decide whether tile statement makes sense (or is...Ch. 18 - Prob. 27EAPCh. 18 - Choose the best answer lo each of the following....Ch. 18 - Prob. 29EAPCh. 18 - Choose the best answer lo each of the following....Ch. 18 - Prob. 31EAPCh. 18 - Prob. 32EAPCh. 18 - Prob. 33EAPCh. 18 - Prob. 34EAPCh. 18 - Prob. 35EAPCh. 18 - Prob. 36EAPCh. 18 - Black Holes in Popular Culture. Expressions such...Ch. 18 - Prob. 39EAPCh. 18 - Prob. 41EAPCh. 18 - Prob. 42EAPCh. 18 - Prob. 43EAPCh. 18 - Prob. 44EAPCh. 18 - Prob. 45EAPCh. 18 - Prob. 46EAPCh. 18 - Prob. 47EAPCh. 18 - Prob. 48EAPCh. 18 - Why Black Holes Are Safe. Explain why the...Ch. 18 - Surviving the Plunge. The tidal forces near a...Ch. 18 - Prob. 52EAPCh. 18 - Prob. 53EAPCh. 18 - Prob. 54EAPCh. 18 - Prob. 55EAPCh. 18 - Prob. 56EAPCh. 18 - Prob. 57EAPCh. 18 - Prob. 58EAPCh. 18 - Prob. 59EAPCh. 18 - Prob. 60EAPCh. 18 - Prob. 61EAP
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