Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 12, Problem 56PCE
To determine
The radius of sun for escape speed equal to the speed of light .
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To what radius would the Sun have to be contracted for its escape speed to equal the speed of light? (Black holes have escape speeds greater than the speed of light; hence we see no light from them.)
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Chapter 12 Solutions
Physics (5th Edition)
Ch. 12.1 - Rank the four systems shown in Figure 12-6 in...Ch. 12.2 - Suppose the Sun suddenly collapsed to half its...Ch. 12.3 - Satellite A orbits the Earth at the radius r,...Ch. 12.4 - Prob. 4EYUCh. 12.5 - Prob. 5EYUCh. 12.6 - If the radius of the Moons orbit around the Earth...Ch. 12 - It is often said that astronauts in orbit...Ch. 12 - When a person passes you on the street, you do not...Ch. 12 - Imagine bringing the tips of your index fingers...Ch. 12 - Does the radius vector of Mars sweep out the same...
Ch. 12 - When a communications satellite is placed in a...Ch. 12 - The Mass of Pluto On June 22, 1978, James Christy...Ch. 12 - Rockets are launched into space from Cape...Ch. 12 - One day in the future you may take a pleasure...Ch. 12 - Apollo astronauts orbiting the Moon at low...Ch. 12 - Prob. 10CQCh. 12 - The force exerted by the Sun on the Moon is more...Ch. 12 - Prob. 12CQCh. 12 - System A has masses m and m separated by a...Ch. 12 - A 6.3-kg bowling ball and a 7.1-kg bowling ball...Ch. 12 - A communications satellite with a mass of 520 kg...Ch. 12 - The Attraction of Ceres Ceres, the largest...Ch. 12 - In one hand you hold a 0.13-kg apple, in the other...Ch. 12 - Predict/Calculate A spaceship of mass m travels...Ch. 12 - At new moon, the Earth, Moon, and Sun are in a...Ch. 12 - When the Earth, Moon, and Sun form a right...Ch. 12 - Repeat the previous problem, this time finding the...Ch. 12 - Predict/Calculate Three 7.25-kg masses are at the...Ch. 12 - Predict/Calculate Four masses are positioned at...Ch. 12 - Suppose that three astronomical objects (1, 2, and...Ch. 12 - Find the acceleration due to gravity on the...Ch. 12 - At what altitude above the Earths surface is the...Ch. 12 - Two 6.4-kg bowling balls, each with a radius of...Ch. 12 - What is the acceleration due to Earths gravity at...Ch. 12 - Extrasolar Planet Gravity Kepler-62e is an...Ch. 12 - Predict/Calculate At a certain distance from the...Ch. 12 - The acceleration due to gravity on the Moons...Ch. 12 - Gravitational Tug of War At some point along the...Ch. 12 - Predict/Calculate An Extraterrestrial Volcano...Ch. 12 - Consider an asteroid with a radius of 19 km and a...Ch. 12 - Prob. 23PCECh. 12 - Predict/Explain The Earth-Moon Distance Is...Ch. 12 - Apollo Missions On Apollo missions to the Moon,...Ch. 12 - Prob. 26PCECh. 12 - An Extrasolar Planet In July of 1999 a planet was...Ch. 12 - Phobos, one of the moons of Mars, orbits at a...Ch. 12 - Predict/Calculate An Asteroid with Its Own Moon...Ch. 12 - GPS Satellites GPS (Global Positioning System)...Ch. 12 - Predict/Calculate Two satellites orbit the Earth,...Ch. 12 - Predict/Calculate Satellite A has a mass of 1000...Ch. 12 - Predict/Calculate The Martian moon Deimos has an...Ch. 12 - Predict/Calculate (a) Calculate the orbital period...Ch. 12 - Binary Stars Alpha Centauri A and Alpha Centauri B...Ch. 12 - Prob. 36PCECh. 12 - How much gravitational potential energy is...Ch. 12 - Predict/Explain (a) Is the amount of energy...Ch. 12 - Prob. 39PCECh. 12 - Calculate the gravitational potential energy of a...Ch. 12 - Prob. 41PCECh. 12 - Two 0.59-kg basketballs, each with a radius of 12...Ch. 12 - Find the minimum kinetic energy needed for a...Ch. 12 - Predict/Explain Suppose the Earth were to suddenly...Ch. 12 - Prob. 45PCECh. 12 - Prob. 46PCECh. 12 - Meteorites from Mars Several meteorites found in...Ch. 12 - What is the launch speed of a projectile that...Ch. 12 - A projectile launched vertically from the surface...Ch. 12 - Prob. 50PCECh. 12 - Predict/Calculate Halleys Comet Halleys comet,...Ch. 12 - The End of the Lunar Module On Apollo Moon...Ch. 12 - Prob. 53PCECh. 12 - Prob. 54PCECh. 12 - A projectile is launched vertically from the...Ch. 12 - Prob. 56PCECh. 12 - Predict/Calculate Two baseballs, each with a mass...Ch. 12 - On Earth, a person can jump vertically and rise to...Ch. 12 - The magnitude of the tidal force exerted on a...Ch. 12 - The magnitude of the tidal force between the...Ch. 12 - A dumbbell has a mass m on either end of a rod of...Ch. 12 - Prob. 62PCECh. 12 - CE You weigh yourself on a scale inside an...Ch. 12 - Figure 12-37 Problems 64 and 65 64. CE Rank...Ch. 12 - CE Referring to Figure 12-37, rank objects A, B,...Ch. 12 - CE The Crash of Skylab Skylab, the largest...Ch. 12 - Consider a system consisting of three masses on...Ch. 12 - An astronaut exploring a distant solar system...Ch. 12 - Predict/Calculate When the Moon is in its...Ch. 12 - Prob. 70GPCh. 12 - Suppose that each of the three masses in Figure...Ch. 12 - A Near Miss! In the early morning hours of June...Ch. 12 - Predict/Calculate Suppose a planet is discovered...Ch. 12 - Prob. 74GPCh. 12 - Walking into Orbit A spherical asteroid of average...Ch. 12 - Prob. 76GPCh. 12 - Find the orbital period of the binary star system...Ch. 12 - Exploring Mars In the not-too-distant future...Ch. 12 - Comet Wild 2 In 2004, a NASA spacecraft named...Ch. 12 - Predict/Calculate (a) If you want to launch a...Ch. 12 - Predict/Calculate A satellite is placed in Earth...Ch. 12 - Show that the force of gravity between the Moon...Ch. 12 - The astronomical unit AU is defined as the mean...Ch. 12 - Prob. 84GPCh. 12 - Predict/Calculate Space Station Orbit The...Ch. 12 - Approaching the ISS A Russian Soyuz module, with...Ch. 12 - Prob. 87GPCh. 12 - Prob. 88GPCh. 12 - Three identical stars, at the vertices of an...Ch. 12 - Prob. 90GPCh. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - If life exists elsewhere in our solar system, it...Ch. 12 - Predict/Calculate Referring to Example 12-8...Ch. 12 - Predict/Calculate Referring to Example 12-17 (a)...Ch. 12 - Predict/Calculate Referring to Example 12-17...
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- If the Sun were to collapse into a black hole, the point of no return for an investigator would be approximately 3 km from the center singularity. Would the investingator be able to survive visiting even 300 km from the center? Answer this by finding the difference in the gravitatoinal attraction the black holes exerts on a 1.0-kg mass at the head and at the feet of the investigator.arrow_forwardAs an object falls into a black hole, tidal forces increase. Will these tidal forces always tear the object apart as it approaches the Schwarzschild radius? How does the mass of the black hole and size of the object affect your answer?arrow_forwardWhat would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars collapsed into a black hole? Compare this to our distance from the center, about 13,000 light years.arrow_forward
- What 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_forwardWhy will the gravitational field intensity increase on the surface of a shrinking star?arrow_forwardA spacecraft is launched from the surface of a 6.7 x 1024 kg planet. If the spacecraft is moving at 21416 m/s once it has reached a distance of 10 times the planet radius away(where the planets radius is 5.4 x 106 m), the how fast was it moving at launch?arrow_forward
- Two 0.56-kg basketballs, each with a radius of 15 cm , are just touching. How much energy is required to change the separation between the centers of the basketballs to 1.4 m ? (Ignore any other gravitational interactions.) How much energy is required to change the separation between the centers of the basketballs to 14 m ? (Ignore any other gravitational interactions.)arrow_forwardSuppose a lump of ionized matter orbits a black hole with a period of 3.50 ms and an orbital radius of 140 km. What is the mass of the black hole? The mass of the sun is Ms = 1.99 x10^30 kg. (Give your answer in terms of the solar mass.) A projectile is launched directly upward from the surface of the Earth with an initial speed of 7.1 km/s. Assuming air resistance is negligible, what is the maximum height of the projectile (in m)?arrow_forwardThe Schwarzschild radius is a distance from a black hole where the escape velocity equals the speed of light (even light cannot escape from a black hole). Determine the Schwarzschild radius for a black hole with the mass of the Sun.arrow_forward
- Show that the areal velocity for a circular orbit of radius r about a mass M is ΔA/Δt =1/2 √GMr . Does your expression give the correct value for Earth’s areal velocity about the Sun?arrow_forwardThe radius at which nothing can escape the pull of a black hole is called the ________.arrow_forwardDistances to the nearest stars (up to 500 ly away) can be measured by a technique called parallax, as shown . What are the angles θ1 and θ2 relative to the plane of the Earth’s orbit for a star 4.0 ly directly above the Sun?arrow_forward
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