Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 26AP
To determine
The argument that shows that the gravity at the surface of a neutron star is more than sufficient to provide the centripetal acceleration.
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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
A star with a mass of 3.41 x 1030 kilograms and a radius of 8.20 x 108 meters rotates on its axis once every 33 days.a. What is the angular momentum of the star? Include units in your answer. More information. b. After running out of fusible matter, the star collapses under its own gravity to form a pulsar with a radius of 24.1 kilometers. What is the period of rotation of the pulsar? Include units in your answer. More information.
PLEASE ANSWER IN HANDWRITING
A certain triple-star system consists of two stars, each of mass m = 4.00×1031 kg, revolving about a central star of mass M = 5.90×1031kg in the same circular orbit of radius r = 5.70×1010 km. The two stars are always at opposite ends of a diameter of the circular orbit (see Figure). What is the period of revolution of the stars?
Chapter 13 Solutions
Physics for Scientists and Engineers
Ch. 13.1 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13.2 - Superman stands on top of a very tall mountain and...Ch. 13.4 - An asteroid is in a highly eccentric elliptical...Ch. 13.6 - Prob. 13.4QQCh. 13 - In introductory physics laboratories, a typical...Ch. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Determine the order of magnitude of the...Ch. 13 - Prob. 4PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...
Ch. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Prob. 9PCh. 13 - A particle of mass m moves along a straight line...Ch. 13 - Use Keplers third law to determine how many days...Ch. 13 - Prob. 12PCh. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 18PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 24APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - Prob. 26APCh. 13 - Prob. 27APCh. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - Prob. 30APCh. 13 - Prob. 31APCh. 13 - Prob. 32APCh. 13 - Prob. 33APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - Prob. 36APCh. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 39APCh. 13 - Prob. 40APCh. 13 - Prob. 41APCh. 13 - Prob. 42APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - Two stars of masses M and m, separated by a...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...
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- At the surface of a red giant star, the gravitational force on 1 kg is only 2.2 x 10-3 N. If its mass equals 4 x 1031 kg, what is the star’s radius?arrow_forwardUnder some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. The density of a neutron star is roughly 1014 times as great as that of ordinary solid matter. Suppose we represent the star as a uniform, solid, rigid sphere, both before and after the collapse. The star’s initial radius was 7.0 * 105 km, its final radius is 16 km. If the original star rotated once in 30 days, find the angular speed of the neutron star.arrow_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
- 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 1.36-kg object at the surface of the white dwarf.( J)arrow_forwardA supergiant star collapses during a supernova blowing off 80.080.0% of it's mass. Angular momentum of the remaining star mass is conserved during the mass blow-off, and so the star spins rapidly. If the initial star diameter is 1.951.95 million kilometers, and it collapses to 14.014.0 km, find the resulting angular velocity in radians per second, given the star's initial angular velocity was 1.01.0 revolution per 36.036.0 days.arrow_forwardA star with a mass of 3.41 x 1030 kilograms and a radius of 8.20 x 108 meters rotates on its axis once every 33 days. a. What is the angular momentum of the star? Include units in your answer. b. After running out of fusible matter, the star collapses under its own gravity to form a pulsar with a radius of 24.1 kilometers. What is the period of rotation of the pulsar? Include units in your answer.arrow_forward
- Certain neutron stars (extremely dense stars) are believed to be rotating at about 3.5 rev/s. If such a star has a radius of 23527 km. For the material on this neutron star's surface to remain in place during the rapid rotation, its minimum mass should be ?answer in kgarrow_forwardThe Schwarzschild radius of our sun is a. 3 km. b. 6 km. c. 9 km. d. 30 km.arrow_forwardCertain neutron stars (extremely dense stars) are believed to be rotating at about 1.4 rev/s. If such a star has a radius of 22738 km. For the material on this neutron star's surface to remain in place during the rapid rotation, its minimum mass should be ?kgarrow_forward
- Two stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that has its center at the midpoint of the line that separates them. If M1 = M2 = 8.20 sm (solar mass), and the orbital period of each star is 2.70 days, find their orbital speed. (The mass of the sun is 1.99 10^30 kg.) km/s.arrow_forwardWhat is the Schwarzschild radius for the black hole at the center of our galaxy if it has the mass of 4 million solar masses?arrow_forwardA brown dwarf star has 5 times the mass of the Sun packed into a sphere of diameter of 20 km. Compute for the surface gravity on this star.arrow_forward
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