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Section 2 Newton`s Law of Universal Gravitation
Section 2 Newton`s Law of Universal Gravitation

... • Relate Newton’s mathematical analysis of gravitational force to the elliptical planetary orbits proposed by Kepler. • Solve problems involving orbital speed and period. ...
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... arise from one force, or from a combination of sources. Fc = F = mac Fc = F = m v2 / r Centripetal forces always arise from other forces. Since speed of object remains constant, kinetic energy remains constant, and work is zero. Friction, tension, normal force, gravity and the magnetic force are c ...
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19FMEReview_Solutions

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Part I: Centripetal force from the rotational motion

... center of curvature of the path and has magnitude given by Fc = m r ω2 where ω is the angular velocity of the object in radian/sec. It is measured by measuring f which is the number of revolutions per second the apparatus rotates through where ω = 2πf. By substitution we get the theoretical value fo ...
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... arise from one force, or from a combination of sources. Fc = F = mac Fc = F = m v2 / r Centripetal forces always arise from other forces. Since speed of object remains constant, kinetic energy remains constant, and work is zero. Friction, tension, normal force, gravity and the magnetic force are c ...
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Galaxy / Cluster Ecosystem Ming Sun (University of Alabama in Huntsville)‏

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solutions for chapter 21 problems 4, 12, 19, 25, 33, 40, 50, 75, 89, 96.

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... by lifting it up. If you lift it too far it will crash into the motion sensor. After the motion settles down, click START and do the following. • Simultaneously observe the motion of the mass and the graphs of position, velocity, and acceleration. Does your intuition about the motion correspond to w ...
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Forces and Newton`s Laws

...  A force cannot be seen, it is only known by its effects on an object. (Refer to Newton’s Laws for a more complete explanation) 1st Effect – Forces cause accelerations But, what if a car is stuck in the mud, and a giant monkey pushes (exerting a force) and the car doesn’t move (no acceleration). Is ...
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Net Force - Mr. Birrell

NEWTON`S SECOND LAW FROM QUANTUM PHYSICS
NEWTON`S SECOND LAW FROM QUANTUM PHYSICS

... 1b. When Classical and Quantum Mechanics Coincide. In order to justify the time-dependent equation found by Schrödinger, we will argue that quantum mechanics and classical particle mechanics must coincide for certain cases. Then we will derive Newton’s Second Law as the first term in a power series ...
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Newton`s Laws of Motion

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... It is because Newtonian mechanics assumes that we can determine the velocity and position of the object at the same instant but actuall we cannot. 2) The velocity must not to be too large.(e.g. speed of light), otherwise special relativity have to be used. It is because the measured mass appears to ...
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4-6 - mrhsluniewskiscience

... • SI Units: Newtons (just like any force!). g = 9.8 m/s2  If m = 1 kg, W = 9.8 N ...
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... The velocity in our equation is the tangential instantaneous velocity at a given time. However, in order to measure the speed of an object moving in a circle, we need to measure its period, T. Recall that “period” is the time it takes for one complete oscillation or revolution. During this time, the ...
Semester 1 Review
Semester 1 Review

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Modified Newtonian dynamics



In physics, modified Newtonian dynamics (MOND) is a theory that proposes a modification of Newton's laws to account for observed properties of galaxies. Created in 1983 by Israeli physicist Mordehai Milgrom, the theory's original motivation was to explain the fact that the velocities of stars in galaxies were observed to be larger than expected based on Newtonian mechanics. Milgrom noted that this discrepancy could be resolved if the gravitational force experienced by a star in the outer regions of a galaxy was proportional to the square of its centripetal acceleration (as opposed to the centripetal acceleration itself, as in Newton's Second Law), or alternatively if gravitational force came to vary inversely with radius (as opposed to the inverse square of the radius, as in Newton's Law of Gravity). In MOND, violation of Newton's Laws occurs at extremely small accelerations, characteristic of galaxies yet far below anything typically encountered in the Solar System or on Earth.MOND is an example of a class of theories known as modified gravity, and is an alternative to the hypothesis that the dynamics of galaxies are determined by massive, invisible dark matter halos. Since Milgrom's original proposal, MOND has successfully predicted a variety of galactic phenomena that are difficult to understand from a dark matter perspective. However, MOND and its generalisations do not adequately account for observed properties of galaxy clusters, and no satisfactory cosmological model has been constructed from the theory.
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