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Final Exam Formula Sheet

# Final Exam Formula Sheet - PHYS 101 Formulae Vectors are in...

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PHYS 101 Formulae Vectors are in bold General equations and constants: Solution to quadratic: ax 2 + bx + c = 0 Î x = (-b ± (b 2 -4ac))/2a Law of cosines: | a + b | 2 = a 2 + b 2 + 2abcos( Θ ) Acceleration due to gravity: g = 9.8 m/s 2 Gravitational constant: G = 6.67x10 -11 N m 2 /kg 2 Mass of the Earth : M E = 6.0x10 24 kg Moment of inertia of a point mass: I = mr 2 Moment of inertia of a sphere: I = (2/5) mr 2 Speed of sound in air at sea level: v = 343 m/s Speed of light c = 3.00 x 10 8 m/s Threshold intensity of audible sound: I 0 = 1.0 x 10 -12 W/m 2 Threshold pressure of audible sound: p 0 = 3.0 x 10 -5 Pa Index of refraction of water: n = 1.33 Index of refraction of glass: n = 1.5 Motion at constant a: v = v 0 + a t x = x 0 + v 0 t + ½ at 2 v 2 = v 0 2 + 2a (x-x 0 ) v aver = (v + v 0 )/2 Reference frames: v in frame A = v in frame B + v B in A Newton’s 2 nd law: F = m a = p / t Force of friction F friction = μ (kinetic, static) F N Centripetal acceleration a = v 2 /r Banked curve, frictionless surface: tan Θ = v 2 /(rg) Force of gravity: F = G (m 1 m 2 )/r 2 Kepler’s 3 rd law: T 2 /r 3 = 4 π 2 /(GM) Work: W = F · d Kinetic energy:

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