2nd Semester Final Study Guide-Clayton Answer

... ____ 12. When a force is exerted on a box, an equal and opposite force is exerted by the box. These forces are called ____ forces. a. action-reaction c. frictional ...

... ____ 12. When a force is exerted on a box, an equal and opposite force is exerted by the box. These forces are called ____ forces. a. action-reaction c. frictional ...

Final Exam Study Guide rtf

... 27. In the results of Rutherford’s gold foil experiment, what caused some of the alpha particles to bounce straight back from the gold foil? a. electrons in the gold atoms c. other alpha particles b. negative charges in the gold atoms d. nuclei in the gold atoms 28. Rutherford’s gold foil experimen ...

... 27. In the results of Rutherford’s gold foil experiment, what caused some of the alpha particles to bounce straight back from the gold foil? a. electrons in the gold atoms c. other alpha particles b. negative charges in the gold atoms d. nuclei in the gold atoms 28. Rutherford’s gold foil experimen ...

Review test # 2

... ____ 22. Matter is defined as anything that a. can be seen and touched. c. can be weighed. b. has mass and takes up space. d. contains kinetic or potential energy. ____ 23. The science of what matter is made of and how it changes is called a. chemistry. c. kinetics. b. physics. d. engineering. ____ ...

... ____ 22. Matter is defined as anything that a. can be seen and touched. c. can be weighed. b. has mass and takes up space. d. contains kinetic or potential energy. ____ 23. The science of what matter is made of and how it changes is called a. chemistry. c. kinetics. b. physics. d. engineering. ____ ...

Untitled - stein" gavirate

... money, go ahead, distribute our books far and wide - we DARE you! • Ever wanted to change your textbook? Of course you have! Go ahead, change ours, make your own version, get your friends together, rip it apart and put it back together the way you like it. That’s what we really want! • Copy, modify, ...

... money, go ahead, distribute our books far and wide - we DARE you! • Ever wanted to change your textbook? Of course you have! Go ahead, change ours, make your own version, get your friends together, rip it apart and put it back together the way you like it. That’s what we really want! • Copy, modify, ...

Study of equations for Tippe Top and related rigid bodies Nils Rutstam

... From equation (2.1) and the definition of vO0 and ω0 we also have v = vO0 + ω0 × r0 . Since the velocity of O0 can be written vO0 = ṡ + ω × a, we then find that v = ṡ + ω × a + ω0 × r0 . This implies that ω × r0 = ω0 × r0 , and because r0 is an arbitrary vector we can conclude that ω = ω0 . Thus a ...

... From equation (2.1) and the definition of vO0 and ω0 we also have v = vO0 + ω0 × r0 . Since the velocity of O0 can be written vO0 = ṡ + ω × a, we then find that v = ṡ + ω × a + ω0 × r0 . This implies that ω × r0 = ω0 × r0 , and because r0 is an arbitrary vector we can conclude that ω = ω0 . Thus a ...

1000-Solved-Problems-in-Classical-Physics-An-Exercise

... concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright L ...

... concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright L ...

# Newton's theorem of revolving orbits

In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1 and 2). Newton applied his theorem to understanding the overall rotation of orbits (apsidal precession, Figure 3) that is observed for the Moon and planets. The term ""radial motion"" signifies the motion towards or away from the center of force, whereas the angular motion is perpendicular to the radial motion.Isaac Newton derived this theorem in Propositions 43–45 of Book I of his Philosophiæ Naturalis Principia Mathematica, first published in 1687. In Proposition 43, he showed that the added force must be a central force, one whose magnitude depends only upon the distance r between the particle and a point fixed in space (the center). In Proposition 44, he derived a formula for the force, showing that it was an inverse-cube force, one that varies as the inverse cube of r. In Proposition 45 Newton extended his theorem to arbitrary central forces by assuming that the particle moved in nearly circular orbit.As noted by astrophysicist Subrahmanyan Chandrasekhar in his 1995 commentary on Newton's Principia, this theorem remained largely unknown and undeveloped for over three centuries. Since 1997, the theorem has been studied by Donald Lynden-Bell and collaborators. Its first exact extension came in 2000 with the work of Mahomed and Vawda.