Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 11, Problem 1P
To determine
The speed of the surface at the neutron star's equator as a fraction of the
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If a neutron star has a radius of 15 km and rotates 822 times a second, what is the speed of the surface at the neutron star's equator as a fraction of the speed of light?
How close, r, to the center of a neutron star would a manned satellite be orbiting if it were at the location where the gravitational force from the star equaled the gravitational force of the Earth's surface?
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
If the sun, which has a rotational period of 25 days, collapses from its current radius (700,000 km) to the radius of a neutron star (10 km) without losing any of its mass, what will its rotational speed be in seconds afer collapse?
Chapter 11 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 11 - Prob. 1RQCh. 11 - Prob. 2RQCh. 11 - Prob. 3RQCh. 11 - Prob. 4RQCh. 11 - Prob. 5RQCh. 11 - Prob. 6RQCh. 11 - Prob. 7RQCh. 11 - Prob. 8RQCh. 11 - Prob. 9RQCh. 11 - Prob. 10RQ
Ch. 11 - Prob. 11RQCh. 11 - If the Sun has a Schwarzschild radius, why isn’t...Ch. 11 - Prob. 13RQCh. 11 - Prob. 14RQCh. 11 - Prob. 15RQCh. 11 - Prob. 16RQCh. 11 - Prob. 17RQCh. 11 - Prob. 18RQCh. 11 - Prob. 1DQCh. 11 - Prob. 2DQCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Prob. 9PCh. 11 - Prob. 1LTLCh. 11 - Prob. 2LTL
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- A neutron star is an astrophysical object having a mass of roughly 2.8 × 1030 kg (about 1.4 times the mass of the sun) but a radius of only about 12 km. If you were in a circular orbit of radius 320 km (about 200 mi), how long would it take you to go once around the star? It would take about _______ s to go once around the star.arrow_forwardIf a neutron star has a radius of 12 km and rotates 1,352 times a second, what is the speed at which a point on the surface at the neutron star's equator is moving? Express your answer as a fraction of the speed of light. (Note: The speed of light is 3 ✕ 105 km/s.)arrow_forwardThe 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_forward
- Assume a neutron star has a mass of about 1.2 times the mass of the Sun and a radius of 7 kilometers. What would be the mass of a Black Hole that has a diameter of 1 cm? Compare it to the mass of Mount Everest (about 5 x 1010 kg).arrow_forwardA spherical star with radius 6.96 x 105 km and rotating with angular speed 3.92 x 10-5 rad/s collapses into a spherical neutron star without loss of mass. The neutron star emits a beam of X-rays directed radially outward that can be seen by an observatory on the earth at a distance 5.28 x 1014 km from the star. The X-ray beam sweeps past the earth with a tangential speed 7.16 x 1015 km/s each time the neutron star makes a full rotation. During the collapse, angular momentum was conserved. The radius of the neutron star isarrow_forwardThe Sun’s mass is 2.0×1030kg,2.0×1030kg, its radius is 7.0×105km,7.0×105km, and it has a rotational period of approximately 28 days. If the Sun should collapse into a white dwarf of radius 3.5×103km,3.5×103km, what would its period be if no mass were ejected and a sphere of uniform density can model the Sun both before and after?arrow_forward
- If Earth's moon were replaced by a neutron star with a radius of 13 km, what would the angular diameter of the neutron star be as seen from Earth? (Hint: Use the small-angle formula, angular diameter (in arc seconds) / 2.06 ✕ 105 arc seconds = linear diameter/distance, where the linear diameter and the distance both have the same units.)arrow_forwardPlasketts binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (Fig. P11.19). Assume the orbital speed of each star is |v|=220km/s and the orbital period of each is 14.4 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 1030 kg.)arrow_forwardThe nearest neutron star (a collated star made primarily of neutrons) is about 3.00 1018 m away from Earth. Given that the Milky Way galaxy (Fig. P1.81) is roughly a disk of diameter 1021 m and thickness 1019 m, estimate the number of neutron stars in the Milky Way to the nearest order of magnitude. Figure P1.81arrow_forward
- Do the same calculations as in Exercise 23.42 but for a pulsar that rotates 1000 times per second.arrow_forwardSince neutron stars consist totally of neutrons, they are extremely massive and have a density that is hard to imagine. A typical radius and mass for a neutron star are 1.95 103 m and 2.60 1028 kg respectively. (a) Determine the density of a neutron star. kg/m3(b) Determine the weight (in pounds) of a penny (V = 360 mm3) if it were made from this material. (Assume 1 lb = 4.448 N.)arrow_forwardA star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star (Links to an external site.) with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=Iω; ω=2πf=2π/T; Isphere=2/5mr^2.arrow_forward
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