The Essential Cosmic Perspective (8th Edition)
The Essential Cosmic Perspective (8th Edition)
8th Edition
ISBN: 9780134446431
Author: Jeffrey O. Bennett, Megan O. Donahue, Nicholas Schneider, Mark Voit
Publisher: PEARSON
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Chapter 4, Problem 33EAP

According to the law of universal gravitation, what would happen to Earth if the Sun were somehow replaced by a black hole of the same mass? (a) Earth would be quickly sucked into the black hole. (b) Earth would slowly spiral into the black hole. (c) Earth’s orbit would not change.

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An African elephant is walking along when a mini-black hole suddenly appears directly above him. The mass of the black hole is so great that its gravity is able to lift the elephant from the Earth. How close must the mini-black hole be to the elephant's center of mass in order to just overcome the downward pull of Earth's gravity? (Treat the mass of the elephant as if it's concentrated at the elephant's center. Mass of Earth ME = 6.97 x 1024 kg Mass of mini-black hole MBH = 4.17 x 1012 kg Radius of Earth RE = 6.40 x 106 meters Mass of elephant (not needed) mini black hole •
You may have an image of Sir Isaac Newton sitting under a tree and after being hit on the head by an apple he suddenly "discovered" the Law of Universal Gravitation. In fact, the theory was a result of years’ worth of research, which in turn was based on centuries of accumulated knowledge. He is credited with determining that the following relationship is universal. The gravitational attraction between two objects varies jointly with their masses (m1 and m2) and inversely with the square of the distance (d) between them. By what percent does the force of gravitational attraction change if one mass is increased by 20%, the other mass decreased by 20%, and the separation is reduced by 25%?
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Chapter 4 Solutions

The Essential Cosmic Perspective (8th Edition)

Ch. 4 - Define kinetic energy, radiative energy, and...Ch. 4 - Define and distinguish temperature and thermal...Ch. 4 - Prob. 8EAPCh. 4 - Summarize the universal law of gravitation both in...Ch. 4 - What is the difference between a bound and an...Ch. 4 - Under what conditions can we use Newton’s version...Ch. 4 - Explain why orbits cannot change spontaneously,...Ch. 4 - Explain how the Moon creates tides on Earth. Why...Ch. 4 - How do the tides vary with the phase of the Moon?...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - A car is accelerating when it is (a) traveling on...Ch. 4 - Compared to their values on Earth, on another...Ch. 4 - Which person is weightless? (a) a child in the air...Ch. 4 - Consider the statement “There’s no gravity in...Ch. 4 - To make a rocket turn left, you need to (a) fire...Ch. 4 - Compared to its angular momentum when it is...Ch. 4 - Prob. 31EAPCh. 4 - If Earth were twice as far from the Sun, the force...Ch. 4 - According to the law of universal gravitation,...Ch. 4 - If the Moon were closer to Earth, high tides would...Ch. 4 - Testing Gravity. Scientists are constantly trying...Ch. 4 - How Does the Table Know? Thinking deeply about...Ch. 4 - 37. Your Ultimate Energy Source. Roles: Scribe...Ch. 4 - Weightlessness. Astronauts are weightless when in...Ch. 4 - Einstein’s Famous Formula. a. What is the meaning...Ch. 4 - The Gravitational Law. a. How does quadrupling the...Ch. 4 - Prob. 41EAPCh. 4 - Head to Foot Tides. You and Earth attract each...Ch. 4 - Prob. 43EAPCh. 4 - Prob. 44EAPCh. 4 - Prob. 45EAPCh. 4 - Prob. 46EAPCh. 4 - Prob. 47EAPCh. 4 - Prob. 48EAPCh. 4 - Space Station. Visit a NASA site with pictures...Ch. 4 - Prob. 50EAPCh. 4 - Prob. 51EAP
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