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 4, Problem 14RQ
How do Newton’s laws lead you to conclude that gravitation has to be universal?
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Why, if the sun is so much more massive than the moon, isn’t it responsible for the Tides? Use Universal Law of Gravitation to explain.
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%?
give an example of how important the newtons law on universal gravitation in our daily life.explain
Chapter 4 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 4 - Why did Greek astronomers conclude that the...Ch. 4 - Why did classical astronomers conclude that Earth...Ch. 4 - How did the Ptolemaic model explain retrograde...Ch. 4 - In what ways were the models of Ptolemy and...Ch. 4 - Why did the Copernican hypothesis win gradual...Ch. 4 - Why is it difficult for scientists to replace an...Ch. 4 - Why did Tycho Brahe expect the new star of 1572 to...Ch. 4 - How was Tycho’s model of the Universe similar to...Ch. 4 - Explain how Kapler’s lows contradict uniform...Ch. 4 - What is the difference between a hypothesis ,...
Ch. 4 - How did The Alfonsine Tables, The Prutenic Tables,...Ch. 4 - Review Galileo’s telescopic discoveries and...Ch. 4 - Galileo was condemned by the Inquisition, but...Ch. 4 - How do Newton’s laws lead you to conclude that...Ch. 4 - Explain why you might describe the orbital motion...Ch. 4 - Prob. 16RQCh. 4 - How Do We know? How would you respond to someone...Ch. 4 - Prob. 18RQCh. 4 - How Do We Know? Why is it important that a...Ch. 4 - Science historian Thomas Kuhn has said that De...Ch. 4 - Many historians suspect that Galileo offended Pope...Ch. 4 - Prob. 3DQCh. 4 - If you lived on Mars, which planets would describe...Ch. 4 - Galileo’s telescope showed him that Venus has a...Ch. 4 - Galileo’s telescopes were not of high quality by...Ch. 4 - If a planet had an average distance from the Sun...Ch. 4 - If a space probe were sent into an orbit around...Ch. 4 - Neptune orbits the Sun with a period of 164.8...Ch. 4 - Venus’s average distance from the Sun is 0.72 AU...Ch. 4 - The circular velocity of Earth around the Sun is...Ch. 4 - What is the orbital velocity of an Earth satellite...Ch. 4 - Prob. 1LTLCh. 4 - Prob. 2LTLCh. 4 - Why is it a little bit misleading to say that this...Ch. 4 - Prob. 4LTLCh. 4 - Mercury’s orbit hardly deviates from a circle, but...
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- Use the Law of Gravitation with Kepler's third Law to determine the mass of the Sun. Don't forget to include units!arrow_forwardPlease prove the relationship between gravity and universal gravitation on Earth , and use the expression to explain in detail . (I've been obsessed with this problem all day, and I'm really sick.)arrow_forwardCompare the gravitational attraction between objects on earth and interaction of celestial bodies in space. Which gravitational force is almost negligible? Why? Discuss why the study of a gravitational field is important.arrow_forward
- a) Sketch the earth and mars, showing the center of the planets being separated by a distance d = 3 x 10^11 m. b). Use Newton's Universal Gravitation equation to determine the gravitational force of attraction between earth and mars at that distance given G= 6.7 x 10^-11 N x m^2/kg^2, mass of earth = 6 x 10^24 kg, mass of mars = 6.4 x 10^23 kgarrow_forwardWrite down NEWTON’S LAW OF GRAVITATION?arrow_forwardWhy does the gravitational attraction between the Sun and Mercury vary? Would it vary if the orbit of Mercury were perfectly circular?arrow_forward
- Newton viewed the curving of the path of a planet as being caused by a force acting upon the planet. How did Einstein view the curved path of a planet?arrow_forwardWhy is Newton's version of Kepler's third law so useful to astronomers? It is the only way to determine the masses of many distant objects. O It tells us how rapidly a planet spins on its axis. O It explains why objects spin faster when they shrink in size. O It tells us that more-distant planets orbit the Sun more rapidly.arrow_forwardRelate Newton's Universal Law of Gravitation to Newton's Third Law of Motion. Elaborate more.arrow_forward
- How do you find the acceleration due to gravity on earth using the Law of Gravitation?arrow_forwardCalculate the force of gravity between a newborn baby (mass = 3 kg) and the planet Mars (mass = 6.4 × 1023 kg) when Mars is at its closest to Earth (distance = 5.6 × 1010 m).arrow_forwardNewton’s law of gravitation and the formula for centripetal acceleration can be used to show that: T^2=(4π^2/Gms)R^3 where G is the universal constant of gravitation and MS is the mass of the Sun. Take logarithms to base 10 of both sides of the equation to complete the expression for 2 lg T.2 lg T = ……………… × lg R + ……………………arrow_forward
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