Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6, Problem 18P
To determine
To show that
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(ii)
A satellite of mass 66 kg is in orbit round the Earth at a distance of
5.7R above its surface, where R is the mean radius of the Earth.
What is the Earth's gravitational field strength at this distance?
(III) The comet Hale–Bopp has an orbital period of2400 years. (a) What is its mean distance from the Sun? (b) Atits closest approach, the comet is about 1.0 AU from the Sun( 1 AU distance from Earth to the Sun). What is thefarthest distance? (c) What is the ratio of the speed at theclosest point to the speed at the farthest point?
(c) A small object was found to drop above the surface of a big planet with no initial
velocity and it fell 13.5 m in 3 s. If the radius of the planet is 5.82 x 10° m, calculate
the small object's acceleration during the fall and the mass of the big planet.
Chapter 6 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 6.3 - Suppose you could double the mass of a planet but...Ch. 6.4 - Two satellites orbit the Earth in circular orbits...Ch. 6.4 - Could astronauts in a spacecraft far out in space...Ch. 6.5 - Suppose there were a planet in circular orbit...Ch. 6 - Does an apple exert a gravitational force on the...Ch. 6 - The Suns gravitational pull on the Earth is much...Ch. 6 - Will an object weigh more at the equator or at the...Ch. 6 - Why is more fuel required for a spacecraft to...Ch. 6 - The gravitational force on the Moon due to the...Ch. 6 - How did the scientists of Newton's era determine...
Ch. 6 - If it were possible to drill a hole all the way...Ch. 6 - A satellite in a geosynchronous orbit stays over...Ch. 6 - Which pulls harder gravitationally, the Earth on...Ch. 6 - Would it require less speed to launch a satellite...Ch. 6 - An antenna loosens and becomes detached from a...Ch. 6 - Describe how careful measurements of the variation...Ch. 6 - The Sun is below us at midnight, nearly in line...Ch. 6 - When will your apparent weight be the greatest, as...Ch. 6 - If the Earths mass were double what it actually...Ch. 6 - The source of the Mississippi River is closer to...Ch. 6 - People sometimes ask. What keeps a satellite up in...Ch. 6 - Explain how a runner experiences free fall or...Ch. 6 - If you were in a satellite orbiting the Earth, how...Ch. 6 - Is the centripetal acceleration of Mars in its...Ch. 6 - The mass of the planet Pluto was not known until...Ch. 6 - The Earth moves faster in its orbit around the Sun...Ch. 6 - Keplers laws tell us that a planet moves faster...Ch. 6 - Does your body directly sense a gravitational...Ch. 6 - Discuss the conceptual differences between g as...Ch. 6 - (I) Calculate the force of Earths gravity on a...Ch. 6 - (I) Calculate the acceleration due to gravity on...Ch. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - (II) Calculate the effective value of g, the...Ch. 6 - (II) You are explaining to friends why astronauts...Ch. 6 - Prob. 8PCh. 6 - (II) Four 8.5-kg spheres are located at the...Ch. 6 - (II) Two objects attract each other...Ch. 6 - (II) Four masses are arranged as shown in Fig....Ch. 6 - (II) Estimate the acceleration due to gravity at...Ch. 6 - (II) Suppose the mass of the Earth were doubled,...Ch. 6 - Prob. 14PCh. 6 - (II) At what distance from the Earth will a...Ch. 6 - (II) Determine the mass of the Sun using the known...Ch. 6 - (II) Two identical point masses, each of mass M,...Ch. 6 - Prob. 18PCh. 6 - (III) (a) Use the binomial expansion...Ch. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - (II) You know your mass is 65 kg, but when you...Ch. 6 - (II) A 13.0-kg monkey hangs from a cord suspended...Ch. 6 - (II) Calculate the period of a satellite orbiting...Ch. 6 - Prob. 28PCh. 6 - (II) What will a spring scale read for the weight...Ch. 6 - Prob. 30PCh. 6 - (II) What is the apparent weight of a 75-kg...Ch. 6 - (II) A Ferris wheel 22.0 m in diameter rotates...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - (III) An inclined plane, fixed to the inside of an...Ch. 6 - (I) Use Keplers laws and the period of the Moon...Ch. 6 - (I) Determine the mass of the Earth from the known...Ch. 6 - (I) Neptune is an average distance of 4.5109 km...Ch. 6 - (II) Planet A and planet B are in circular orbits...Ch. 6 - (II) Our Sun rotates about the center of our...Ch. 6 - (II) Table 63 gives the mean distance, period, and...Ch. 6 - (II) Determine the mean distance from Jupiter for...Ch. 6 - (II) The asteroid belt between Mars and Jupiter...Ch. 6 - (III) The comet Hale-Bopp has a period of 2400...Ch. 6 - Prob. 46PCh. 6 - (III) The orbital periods and mean orbital...Ch. 6 - (II) What is the magnitude and direction of the...Ch. 6 - (II) (a) What is the gravitational field at the...Ch. 6 - Prob. 50PCh. 6 - How far above the Earths surface will the...Ch. 6 - At the surface of a certain planet, the...Ch. 6 - A certain white dwarf star was once an average...Ch. 6 - What is the distance from the Earths center to a...Ch. 6 - The rings of Saturn are composed of chunks of ice...Ch. 6 - During an Apollo lunar landing mission, the...Ch. 6 - Prob. 57GPCh. 6 - Prob. 58GPCh. 6 - Jupiter is about 320 limes as massive as the...Ch. 6 - The Sun rotates about the center of the Milky Way...Ch. 6 - Prob. 61GPCh. 6 - A satellite of mass 5500 kg orbits the Earth and...Ch. 6 - Show that the rate of change of your weight is...Ch. 6 - Astronomers using the Hubble Space Telescope...Ch. 6 - Suppose all the mass of the Earth were compacted...Ch. 6 - A plumb bob (a mass m hanging on a string) is...Ch. 6 - A geologist searching for oil finds that the...Ch. 6 - Prob. 68GPCh. 6 - A science-fiction tale describes an artificial...Ch. 6 - How long would a day be if the Earth were rotating...Ch. 6 - An asteroid of mass m is in a circular orbit of...Ch. 6 - Newton had the data listed in Table 64, plus the...Ch. 6 - A satellite circles a spherical planet of unknown...Ch. 6 - Prob. 74GPCh. 6 - The gravitational force at different places on...Ch. 6 - Prob. 76GPCh. 6 - Estimate the value of the gravitational constant G...Ch. 6 - Between the orbits of Mars and Jupiter, several...
Knowledge Booster
Learn more about
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
- (II) Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line, Fig. 5-44. The masses are ту — 0.815 mЕ, Mу — 318 ТЕ, Msat — 95.1 тE, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun's force on the Earth is this? 318 тE, MSat 95.1 mẸ, Venus Earth Sun Jupiter Saturn FIGURE 5-44 Problem 41 (not to scale).arrow_forward(II) A hypothetical planet has a mass 2.80 times that of Earth, but has the same radius. What is g near its surface?arrow_forward(III) (a) Show that if a satellite orbits very near the surface of a planet with period T, the density (= mass per unit volume) of the planet is p = m/V = 3™/GT². (b) Esti- mate the density of the Earth, given that a satellite near the surface orbits with a period of 85 min. Approximate the Earth as a uniform sphere.arrow_forward
- (II) Given that the acceleration of gravity at the surface of Mars is 0.38 of what it is on Earth, and that Mars’ radius is 3400 km, determine the mass of Marsarrow_forward(a) (i) Define gravitational field strength and state whether it is a scalar or vector quantity. A mass m is at a height h above the surface of a planet (ii) of mass M and radius R. The gravitational field strength at height h is g. By considering the gravitational force acting on massm, derive an equation from Newton's law of gravitation to express g in terms of M, R, h and the gravitational conșțant G.arrow_forward(II) Determine the time it takes for a satellite to orbit theEarth in a circular near-Earth orbit. A “near-Earth” orbitis at a height above the surface of the Earth that is verysmall compared to the radius of the Earth. [Hint: You maytake the acceleration due to gravity as essentially the same asthat on the surface.] Does your result depend on the massof the satellite?arrow_forward
- (II) Two satellites orbit Earth at altitudes of 7500 km and15,000 km above the Earth’s surface. Which satellite is faster,and by what factor?arrow_forwardTwo masses m, = 100 kg and m, = 8100 kg are held 1 m apart. (a) At what point on the line joining them is the gravitational field equal to zero? Find the gravi- tational potential at that point. (b) Find the gravitational potential energy of the system. Given G = 6.67 × 10-" Nm? kg.arrow_forwardThe Seperation distance between two 1 kg. masses is (a) decreased by 2/3 (b) increased by a factor of 3 how is mutual gravitational force affected?arrow_forward
- (6) The table 1 below shows how the magnitude of the gravitational force, F, on amass of 1 kg varies with distance, r, from the centre of a planet. Force F/N 40 2.6 1.8 1.3 3.0 3.5 40 1.0 0.79 Distance r/Mm 2.0 2.5 45 Table 1 (a) Plot a suitable straight line graph to show that the gravitational fore Fis innersely propor- tional to r?. (b) The value of g on the planet's surfacæ (ps) is 5 N kg. Use your graph to estimate the radius of the planet.arrow_forwardThe Sun rotates about the center of the Milky Way Galaxy (Fig. 6-29) at a distance of about 30,000 light- years from the center (1 ly = 9.5 × 105 m). If it takes about 200 million years to make one rotation, estimate the mass of our Galaxy. Assume that the mass distribu- tion of our Galaxy is concentrated mostly in a central uniform sphere. If all the stars had about the mass of our Sun (2 x 1030 kg), how many stars would there be in our Galaxy? %3D (II) Sun AW (I) 1E bins viool 30,000 ly ovarrow_forwardDetermine the height habove the surface of a planet of radius R and mass M at which the gravitational field will be 60% of its surface value (express h in terms of R). [Hint: Strictly speaking, the acceleration due to gravity g is a function of the height h above planet’s surface, i.e., g = g(h). If the weight of a mass m at a height h is mg(h), then mg(h) = GMm/(R+h)2.] a) 0.6R b) 0.58R c) 0.29Rarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University