A spacecraft is on a journey to the moon. At what point, as mca- sured from the center of the earth, does the gravitational force exerted on the spacecraft by the earth balance that exerted by the moon? This point *32. lies on a line between the centers of the earth and the moon. The distance between the earth and the moon is 3.85 × 10% m, and the mass of the earth is 81.4 times as great as that of the moon.

A spacecraft is on a journey to the moon. At what point, as mca- sured from the center of the earth, does the gravitational force exerted on the spacecraft by the earth balance that exerted by the moon? This point *32. lies on a line between the centers of the earth and the moon. The distance between the earth and the moon is 3.85 × 10% m, and the mass of the earth is 81.4 times as great as that of the moon.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 2OQ: The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward....

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The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?
The radius Rhand mass Mh of a black hole are related by Rh = 2GMh/c2, where c is the speed of light. Assume that the gravitational acceleration agof an object at a distance ro= 1.001Rh from the center of a black hole is given by ag = G M / r2 (it is, for large black holes). (a) What is ag at rofor a very large black hole whose mass is 1.69 × 1015 times the solar mass of 1.99 × 1030 kg?(b) If an astronaut with a height of 1.73 m is at rowith her feet toward this black hole, what is the difference in gravitational acceleration between her head and her feet ahead-afeet?
A 240-kg object and a 540-kg object are separated by 3.20 m. (a) Find the magnitude of the ret gravitational force exerted by these objects on a 64.0-kg object placed midway between them. . N (b) At what position (other than an infinitely remote one) can the 64.0-kg object be placed so as to experience a net force of zero from the other two objects? m from the 540 kg mass toward the 240 kg mass
(a) Find the magnitude of the gravitational force betweena planet with mass 7.50 x 1024 kg and its moon, with mass2.70 x 1022 kg, if the average distance between their centersis 2.80 x108 m. (b) What is the acceleration of the moontowards the planet? (c) What is the acceleration of the planettowards the moon?
The Sun and Earth each exert a gravitational force on the Moon. What is the ratio FSun/FEarth of these two forces? (The average Sun–Moon distance is equal to the Sun–Earth distance.)
The Sun and Earth each exert a gravitational force on the Moon.What is the ratio FSun/FEarth of these two forces? (The average Sun–Moon distance is equal to the Sun–Earth distance.)
A 105-kg object and a 405-kg object are separated by 3.10 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 55.0-kg object placed midway between them. 4.58e-7 N (b) At what position (other than an infinitely remote one) can the 55.0-kg object be placed so as to experience a net force of zero from the other two objects? 1.99 X m from the 405 kg mass toward the 105 kg mass
Two books are on a shelf 1.3 m from one another. Book A has a mass of 2.2 kg. Book B hasa mass of 1.7 kg. An absentminded student picks up book A to see if it is useful for his re-search paper. He decides not to use the book and sets it on a shelf 1.8 m from book B.What effect does this have on the gravitational force between the books?AThe gravitational force remains the same because the masses of the books remainconstant.BThe gravitational force decreases because the distance between the books increases.The gravitational force increases because the distance between the books increases.DThe gravitational force remains the same because distance does not affect gravity for small objects
what are the magnitude and direction of the gravitational force exerted on Moe by 11.lf Moe exerts a gravitational force of 3.65 x 10-8 N on Larry, who is standing east of him, 10.If an object on the earth experiences a gravitational force of 25 N toward the center of the earth, what are the magnitude and direction of the force the object exerts on the earth? Larry? If each man has a mass of 70.0 kg, how far apart are they standing? If Curly were to bump into Moe, knocking him halfway to Larry, how would the new gravitational force between Moe and Larry compare to the original? a. ¼ as great b. ½ as great c. the same d. twice as great e. four times as great
28. The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force FsM that the sun exerts on the moon is per- pendicular to the force FEM that the earth exerts on the moon. The masses are: mass of sun = 1.99 × 10º kg, mass of earth = 5.98 × 10²4 kg, mass of moon = 7.35 × 10² kg. The distances shown in the drawing are rSM = 1.50 x 10" m and reM = 3.85 × 10º m. Determine the magnitude of the net gravitational force on the moon. "SM Moon FSM Sun FEM 'EM Earth
A 270-kg object and a 570-kg object are separated by 3.40 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 64.0-kg object placed midway between them. (b) At what position (other than an infinitely remote one) can the 64.0-kg object be placed so as to experience a net force of zero from the other two objects? m from the 570 kg mass toward the 270 kg mass
The drawing (not to scale) shows one alignment of the sun, earth, and moon. The gravitational force FSM that the sun exerts on the moon is perpendicular to the force FEM that the earth exerts on the moon. The masses are: mass of sun = 1.99 × 10³0 kg, mass of earth = 5.98 × 1024 kg, mass of moon = 7.35 × 1022 kg. The distances shown in the drawing are rsM = 1.50 × 10¹1 m and rEM = 3.85 × 108 m. Determine the magnitude of the net gravitational force on the moon. Number i Sun Units ISM FSM FEM Earth Moon TEM