PHYSICS F/SCI.+ENGINEERS-ACCESS
4th Edition
ISBN: 9780131992269
Author: GIANCOLI
Publisher: PEARSON
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Question
Chapter 6, Problem 57GP
To determine
The greatest distance of the comet from the Sun, and whether the comet is in the solar system.
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Synchronous or stationary communications satellites are put into an orbit whose radius is r= 3.5x10^7m. The orbit is in the plane of the equator, and two adjacent satellites have an angular separation of theta= 3.9 degrees. Find the arc lenght in m that separates the satellites. Express answer in whole number.
A “treetop satellite” moves in a circular orbit just above the surface of a planet, assumed to offer no air resistance. Show that its orbital speed υ and the escape speed from the planet are related by the expression υesc =√2υ.
Suppose a planet is discovered orbiting a distant star with 13 times the mass of the Earth and 1/13 its radius.
How does the escape speed on this planet compare with that of the Earth?
Chapter 6 Solutions
PHYSICS F/SCI.+ENGINEERS-ACCESS
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...
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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
- Check Your Understanding By what factor must the radius change to reduce the orbital velocity of a satellite by one-half? By what factor would this change the period?arrow_forwardUsing the technique shown in Satellite Orbits and Energy, show that two masses m1 and m2 in circular orbits about their common center of mass, will have total energy E=K+E=K1+K2Gm1m2r=Gm1m22r . We have shown the kinetic energy of both masses explicitly. (Hint: The masses orbit at radii r1 and r2 , respectively, where r=r1+r2 . Be sure not to confuse the radius needed for centripetal acceleration with that for the gravitational force.)arrow_forwardCheck Your Understanding If we send a probe out of the solar system starting form Earth’s surface, do we only have to escape the Sun?arrow_forward
- If a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forwardAn average-sized asteroid located 5.0107km from Earth with mass 2.01013kg is detected headed directly toward Earth with speed of 2.0km/s . What will its speed be just before it hits our atmosphere? (You may ignore the size of the asteroid.)arrow_forwardA planet has two moons with identical mass. Moon 1 is in a circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. The magnitude of the gravitational force exerted by the planet on Moon 2 is (a) four times as large (b) twice as large (c) the same (d) half as large (e) one-fourth as large as the gravitational force exerted by the planet on Moon 1.arrow_forward
- Does the speed of satellite remain constant in a particular orbit? Explain.arrow_forwardAn object of mass m is launched from a planet of mass M and radius R. a)Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r = ∞. b)Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M = 6 × 1023 kg and R = 76 × 104 km.arrow_forwardFind the escape velocity ve for an object of mass m that is initially at a distance R from the center of a planet of mass M. Assume that R≥Rplanet, the radius of the planet, and ignore air resistance. Express the escape velocity in terms of R, M, m, and G, the universal gravitational constant.arrow_forward
- There exista a spherical planet with a mass of M and a radius of R. How much energy is required to take a rocket of a mass m from rest on the surface of the planet to a circular orbit a height h above the surface?Find using the Energy Difference Ef -Ei where Ef is the energy in orbit and Ei is the energy at rest on the surface. h is not smallarrow_forwardWhat must the separation be between a 5.2 kg particle and a 2.4 kg particle for their gravitational attraction to have a magnitude of 2.3 * 10-12 N?arrow_forwardIf the masses remain the same but the distance of separation is decreased toone-half the original distance, what happens to gravitational force? Explain the answer in equation form.arrow_forward
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