Foundations of Astronomy (MindTap Course List)
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 14, Problem 12P
To determine

The orbital velocity of the gas particle.

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Consider a disk with disk temperature T = T0(r/AU)−1 with T0 = 200K.and surface density given by Σ = Σ0(r/AU)−1, with Σ0 = 104 kg/m2. Assume that the protostar has mass Mstar = M⊙. You may assume the gas is composed of a 5:1 mixture of H2 molecules and helium atoms, and ignore trace amounts of heavier elements. how much less is the orbital speed of the gas at 1 AU than the Keplerian speed?
If a 1.40 MSun neutron star has a radius of 10.0 km, what is the radius (in km) of a 2.15 MSun neutron star? (Use the mass-radius relationship  R ∝ M−1/3)   What is the escape velocity (in km/s) from the surface of a 1.5 M neutron star? From a 3.0 M neutron star? (Hint: Use the formula for escape velocity,  Ve =    2GM r ;  make sure to express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 ✕ 1030 kg.) 1.5 M neutron star km/s3.0 M neutron star km/s
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