High School Reference Sheet California Science Test Force and Energy PE mgh F ma F w mg Fg = F = Gm1m2 d2 ke q1q2 d 2 KE 1 mv 2 2 W = ΔKE F = force m = mass a = acceleration w = weight g = acceleration due to gravity G = gravitational con stant d = distance ke = Coulomb’s constant q = charge PE = potential e nergy h = height KE = kinetic en ergy v = velocity W = work Motion s= d t a= v t s = speed d = distance t = time a = accele ratio n v = velocity ρ = mv ρ = momentum J = F t = mv m = mass J = impulse F = force Copyright © 2017 California Department of Education Page 1 of 3 High School Reference Sheet California Science Test Kepler’s Laws e e = eccentricity f d f = distance between foci of an ellipse d = major axis length of an ellipse T = orbital period T 2 ∝ R3 R = semi -major axis of an orbit Waves E = energy E hƒ h = Planck ’s constant ƒ = frequency v = wave speed v ƒ = wavelength Experimental Design Percent Error = accepted value - experimental value accepted value •100 ⎛ actual yield ⎟⎞ ⎟ Percent Yield = ⎜⎜ ⎜⎝ theoretical yield ⎟⎟⎠ • 100 Copyright © 2017 California Department of Education Page 2 of 3 High School Reference Sheet California Science Test Constants Acceleration Due to Gravity: g 9.8 m s2 Mass of Earth: ME = 5.97 ´1024 kg 23 Avogadro’s Number: NA 6.02 10 particles mol Planck’s Constant: h = 6.63 ´10-34 J • s Charge of an Electron: e 1.60 1019 C Radius of Earth: R E = 6.37 ´106 m N • m2 Coulomb’s Constant: ke = 9.00 ×10 C2 8 Speed of Light in a Vacuum: c 3.00 10 9 Gravitational Constant: G = 6.67 ´10-11 N • m2 kg2 m s Volume of a Gas at 0˚C and 100 kPa: Vm 22.4 L mol Conversions Calorie to Joule: 1 cal = 4.184 J Pressure: 1 atm = 760 Torr = 101.3 kPa Units Energy: 1 J 1 N • m Force: 1 N = 1 Frequency: 1 Hz 1 cycle s kg • m s2 Copyright © 2017 California Department of Education Page 3 of 3