Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 5, Problem 33CQ
Is Kepler’s third law valid for artificial satellites orbiting about the Earth? Explain.
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Students have asked these similar questions
What would Kepler’s third law be for circular orbits if an amendment to Newton’s law of gravitation made the gravitational force inversely proportional to r3? Would this change affect Kepler’s other two laws? Explain.
3. Can the motion of a satellite orbiting the earth be described by Kepler’s three laws? Explain why and/or why not?
Which of the following are, or follow directly from, Kepler's Laws of planetary motion? Check all that apply.
More distant planets move at slower speeds.
The force of attraction between any two objects decreases with the square of the distance between their centers.
The orbit of each planet about the Sun is an ellipse with the Sun at one focus.
A planet travels faster when it is nearer to the Sun and slower when it is farther from the Sun.
As a planet moves around its orbit, it sweeps out equal areas in equal times.
Chapter 5 Solutions
Physics of Everyday Phenomena
Ch. 5 - Suppose that the speed of a ball moving in a...Ch. 5 - A car travels around a curve with constant speed....Ch. 5 - Two cars travel around the same curve, one at...Ch. 5 - A car travels the same distance at constant speed...Ch. 5 - The centripetal acceleration depends upon the...Ch. 5 - A ball on the end of a string is whirled with...Ch. 5 - Before the string breaks in question 6, is there a...Ch. 5 - For a ball being twirled in a horizontal circle at...Ch. 5 - A car travels around a flat (nonbanked) curve with...Ch. 5 - Is there a maximum speed at which the car in...
Ch. 5 - If a curve is banked, is it possible for a car to...Ch. 5 - If a ball is whirled in a vertical circle with...Ch. 5 - Sketch the forces acting upon a rider on a Ferris...Ch. 5 - Which safety measure, seat belts or air bags,...Ch. 5 - In a head-on collision between two vehicles, is...Ch. 5 - If a car is equipped with air bags, should it be...Ch. 5 - In what way did the heliocentric view of the solar...Ch. 5 - Did Ptolemys view of the solar system require...Ch. 5 - Heliocentric models of the solar system...Ch. 5 - How did Keplers view of the solar system differ...Ch. 5 - Consider the method of drawing an ellipse pictured...Ch. 5 - Does a planet moving in an elliptical orbit about...Ch. 5 - Does the sun exert a larger force on the Earth...Ch. 5 - Is there a net force acting on the planet Earth?...Ch. 5 - Three equal masses are located as shown in the...Ch. 5 - Two masses are separated by a distance r. If this...Ch. 5 - A painter depicts a portion of the night sky as...Ch. 5 - At what times during the day or night would you...Ch. 5 - At what times of the day or night does the...Ch. 5 - Are we normally able to see the new moon? Explain.Ch. 5 - During what phase of the moon can a solar eclipse...Ch. 5 - A synchronous satellite is one that does not move...Ch. 5 - Is Keplers third law valid for artificial...Ch. 5 - Since the Earth rotates on its axis once every 24...Ch. 5 - Prob. 35CQCh. 5 - Prob. 36CQCh. 5 - A ball is traveling at a constant speed of 4 m/s...Ch. 5 - A car rounds a curve with a radius of 40 m at a...Ch. 5 - A ball traveling in a circle with a constant speed...Ch. 5 - How much larger is the required centripetal...Ch. 5 - A 0.35-kg ball moving in a circle at the end of a...Ch. 5 - A car with a mass of 1500 kg is moving around a...Ch. 5 - A car with a mass of 1300 kg travels around a...Ch. 5 - A Ferris wheel at a carnival has a radius of 8 m...Ch. 5 - What is the ratio of the Earths period of rotation...Ch. 5 - Dylan has a weight of 800 N (about 180 lb) when he...Ch. 5 - Two masses are attracted by a gravitational force...Ch. 5 - Two 700-kg masses (1543 lb) are separated by a...Ch. 5 - Two masses are attracted by a gravitational force...Ch. 5 - The acceleration of gravity at the surface of the...Ch. 5 - The acceleration of gravity on the surface of...Ch. 5 - The time separating high tides is 12 hours and 25...Ch. 5 - A 0.25-kg ball is twirled at the end of a string...Ch. 5 - A Ferris wheel with a radius of 15 m makes one...Ch. 5 - A car with a mass of 1100 kg is traveling around a...Ch. 5 - Assume that a passenger in a rollover accident...Ch. 5 - The suns mass is 1.99 1030 kg, the Earths mass is...Ch. 5 - The period of the moons orbit about the Earth is...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The planet mercury travels around the Sun with a mean orbital radius of 5.8e10 m. The mass of the Sun is 1.99e30 kg. Use Newton's version of Kepler's third law to determine how long it takes Mercury to orbit the Sun. Give your answer in Earth days.arrow_forwardWhat is Kepler's first law of planetary motion? The period of a planet's orbit is proportional to its distance from the sun. Planets have circular orbits. Planets have elliptical orbits. The eccentricity of a planet's orbit is proportional to its distance from the sun.arrow_forward4arrow_forward
- hi. can you solve it with an explanation? thanksarrow_forward6. A sky-watching friend tells you they've been tracking an Earth satellite in a circular orbit with a period of 1.0 hours. Should you believe them? Justify your answer. (Hint: Find the orbital radius of the satellite.) Answer: Noarrow_forwardA centripetal force of 175 N acts on a 1,450-kg satellite moving with a speed of 5,100 m/s in a circular orbit around a planet. What is the radius of its orbit? I got 2.155*10^9 however 2,155,00,000 is the wrong answerarrow_forward
- Why 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_forward3. Mars is 1.53 times as far from the Sun as Earth is. Use Kepler's third faw to predict the time required for Mars to orbit the sun in Earth days.arrow_forwardThe mass of planet X is 6.4 x 1023 kg and the aceleration of gravity on its surface is 3.7 m/s², if the gravitational constant G = 6.67 x 10-11 N.m²/kg², the radius of this planet R is a) 3.40 x 106 m c) 4.03 x 106 m e) 1.15 x 1013 m b) 2.98 x 106 m d) 7.56 x 106 m.arrow_forward
- Kepler’s Law relates the period T ( in a sec) of a satellite to the distance from the center of the earth r (in m) to some physical constants as shown: T2 = (2π/ G ME) r3 Where G = Universal Constant of Gravitation and ME is the mass of the earth. A stationary satellite is one that circles the earth in a circular orbit but stays exactly above the same spot on the earth. Calculate the distance above the earth in m for this “geo-synchronous satellite” to orbit, then convert that height to miles.arrow_forwardWhat did Kepler discover about the periods of planets and their distances from the Sun? Was this discovery aided by thinking of satellites as projectiles moving under the influence of the Sun?arrow_forwardThe table below illustrates data on Kepler's 3rd Law for the first six planets. Use it to estimate the semi-major axis of the object Hathor 2340 which has an orbital period of 0.77 years p (years) p2 a3 a (AU) Mercury 0.24 0.058 0.058 0.39 Venus 0.62 0.38 0.38 0.72 Earth 1.00 1.00 1.00 1.00 Mars 1.88 3.54 3.54 1.52 Jupiter 11.9 141 141 5.20 Saturn 29.5 868 868 9.54 А. 13.7 AU O B. 0.84 AU ОС. 1.41 AU D. 2.55 AU O E. 1.05 AUarrow_forward
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