DERIVATION AND ANALYSIS OF SOME WAVE EQUATIONS

Leaving Cert Higher Level Physics Derivations Page 3 6 To Derive: Relationship between Periodic Time (T) and Radius (R) for a satellite in orbit GM R T 2 3 2 4S Derivation: We compare two formulae which we have for Force: The first is the Universal Gravitational Force formula: 2 2 1 r Gm m F g The second is the Centripetal Force formula: r mv

Derivation of Compton’s Equation - Physics Courses

Derivation of Compton’s Equation Let 1 and 2 be the wavelengths of the incident and scattered x rays, respectively, as shown in Figure 3-18 The corresponding momenta are p 1 = E 1 c = hf 1 = h 1 and p 2 = E 2 c = hf 2 = h 2 using f c Since Compton used the K line of molybdenum ( 0 0711 nm; see

Physics 115/242 Derivation of the central limit theorem

Physics 115/242 Derivation of the central limit theorem Peter Young (Dated: November 29, 2007) Consider a random variable x with distribution P(x) It has mean and standard deviation ˙ According to the central limit theorem, if and ˙ are nite, the distribution of the sum of N independent such variables, X = XN i=1 xi; (1)

Maximum Range Formula Derivation

Maximum Range Formula Derivation Set x o = 0 yo = 0 y = 0 y = y o + v yo t – ½ gt 2 0 = v yo t – ½ gt 2 Solving for t we get t = 0 or t = 2v yo /g Range = x = v xo t R = (v xo)(2v yo)/g R = 2v xo vyo /g vxo = v o cos θθθ vyo = v o sin θθθθ Substitute R = 2v o 2 (sin θθθθ)( cos θθθθ) g 2sin θθθθ cos θθθθ = sin2

Derivation of the Lorentz Transformation - UMD Physics

Department of Physics, University of Maryland, College Park In most textbooks, the Lorentz transformation is derived from the two postulates: the equivalence of all inertial reference frames and the invariance of the speed of light

Saha Equation - Physics & Astronomy

Sep 26, 2006 · The derivation is identical for , except that the binding energy term is Saha Equation -- from Eric Weisstein's World of Physics Page 2 of 4