Newton's universal law of gravitation states that every particle in theuniverse attracts every other particle with a force along a line joining them.The force is directly proportional to the product of their masses andinversely proportional to the square of the distance between them.Mathematically, it can be written asGMmF =According to this law, when distance between two masses is reduced by half,the forcebecomes half compared to originalO becomes two times larger compared to originalbecomes quarter of the originalbecomes four times larger compared to original Newton's universal law of gravitation states that every particle in theuniverse attracts every other particle with a force along a line joining them.The force is directly proportional to the product of their masses andinversely proportional to the square of the distance between them.Mathematically,can be written asGMmFAccording to this law, when mass of one object is doubled, the forcemMbecomes four times larger compared to originalbecomes two times larger compared to originalbecomes quarter of the originalbecomes half compared to original

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Answered: Newton's universal law of gravitation…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 9PQ

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Repeat the preceding problem with the ship heading directly away from the Earth.
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Which of the following statements are fundamental postulates of the special theory of relativity? More than one statement may be correct. (a) Light moves through a substance called the ether. (b) The speed of light depends on the inertial reference frame in which it is measured. (c) The laws of physics depend on the inertial reference frame in which they are used. (d) The laws of physics are the same in all inertial reference frames. (e) The speed of light is independent of the inertial reference frame in which it is measured.
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Check Your Understanding What happens to force and accleration as the vehicles fall together? What wil our estimate of the velocity at a collision higher or lower than the speed actually be? And finally, what would happen if the masses were not identical? Would the force on each be the same or different? How about their accelerations?
A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 000 kg. Ii has strayed too close to a black hole having a mass 100 times that of the Sun (Fig. P11.11). The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. (a) Determine the total force on the spacecraft. (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in accelerations grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.)
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