This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Chapter 13 Gravitation Newton’s Law of Universal Gravitation Every particle in the Universe attracts every other particle with a force (field force) that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them . 2 2 1 m m G F g = Inversesquare law r G : universal gravitational constant 2 2 11 / 10 673 . 6 kg m N ⋅ × = 12 2 2 1 12 ˆ r F r m m G = Chapter 13 Gravitation Measuring the Gravitational Constant 1798 Henry Cavendish FreeFall Acceleration and the Gravitational Force 2 E E R m M G mg = 2 E E R M G g = m M M Chapter 13 Gravitation g’ decreases with increasing altitude. 2 ' ) ( h R m M G mg E E + = 2 ' ) ( h R M G g E E + = the elliptical orbit of Mars Kepler discovered that the orbit of Mars could be accurately described by an ellipse. 2 2 2 c b a + = Chapter 13 Gravitation Major axis Center Focal points : The Sun is located at either Minor axis Kepler’s Laws 1. All planets move in elliptical orbits with the Sun at one focal point. A direct consequence of the fact that the gravitational force varies as 1/r 2 ....
View
Full Document
 Fall '11
 K.Y.Liao
 Mass, General Relativity, Gravitational Force, Gravitational constant

Click to edit the document details