AP Physics 1 Equations and Usage Cheat Sheet, Cheat Sheet of Physics

Download AP Physics 1 Equations and Usage Cheat Sheet and more Cheat Sheet Physics in PDF only on Docsity! 1 ADVANCED PLACEMENT PHYSICS 1 TABLE OF INFORMATION & EQUATIONS CONSTANTS AND CONVERSION FACTORS Proton mass, mp = 1.67 x 10-27 kg Neutron mass, mn = 1.67 x 10-27 kg Electron mass, me = 9.11 x 10-31 kg Speed of light, c = 3.00 x 108 m/s Electron charge magnitude, e = 1.60 x 10-19 C Coulomb’s law constant, k = 1/4π𝜀0 = 9.0 x 109 N•m2/C2 Universal gravitational constant, G = 6.67 x 10-11 m3/kg•s2 Acceleration due to gravity at Earth’s surface, g = 9.8 m/s2 UNIT SYMBOLS meter, m kelvin, K watt, W degree Celsius, ˚C kilogram, kg hertz, Hz coulomb, C second, s newton, N volt, V ampere, A joule, J ohm, Ω PREFIXES Factor Prefix Symbol 1012 tera T 109 giga G 106 mega M 103 kilo k 10-2 centi c 10-3 milli m 10-6 micro 𝜇 10-9 nano n 10-12 pico p The following conventions are used in this exam. I. The frame of reference of any problem is assumed to be inertial unless otherwise stated. II. Assume air resistance is negligible unless otherwise stated. III. In all situations, positive work is defined as work done on a system. IV. The direction of current is conventional current: the direction in which positive charge would drift. V. Assume all batteries and meters are ideal unless otherwise stated. VALUES OF TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLES 𝜃 0˚ 30˚ 37˚ 45˚ 53˚ 60˚ 90˚ sin𝜃 0 1/2 3/5 2/2 4/5 3/2 1 cos𝜃 1 3/2 4/5 2/2 3/5 1/2 0 tan𝜃 0 3/3 ¾ 1 4/3 3 ∞ 2 ADVANCED PLACEMENT PHYSICS 1 EQUATIONS, EFFECTIVE 2015 MECHANICS Equation Usage a = acceleration A =amplitude d = distance E = energy f = frequency F = force I = rotational inertia K =kinetic energy k = spring constant L = angular momentum ℓ = length m = mass P =power p = momentum r = radius or separation T = period t = time U = potential energy V = volume v = speed W = work done on a system x = position y = height 𝛼 = angular acceleration 𝜇 = coefficient of friction 𝜃 = angle 𝜌 = density 𝜏 = torque 𝜔 = angular speed 𝑣!"# = Δ𝑥 Δ𝑡 Calculate average velocity 𝑎!"# = Δ𝑣 Δ𝑡 𝑎 = Σ𝑡 𝐼 = 𝑡!"# 𝐼 Calculate average acceleration Calculate acceleration 𝑣! = 𝑣!! + 𝑎!𝑡 𝑥 = 𝑥! + 𝑣!!𝑡 + 1 2𝑎!𝑡 ! 𝑣!! = 𝑣!!! + 2𝑎!(𝑥 − 𝑥!) 𝑥 = 𝐴𝑐𝑜𝑠(2𝜋𝑓𝑡) Kinematic equations for describing linear motion with constant acceleration in one and two dimensions. 𝜃 = 𝜃! + 𝜔!𝑡 + 1 2𝛼𝑡 ! 𝜔 = 𝜔! + 𝛼𝑡 𝜔! = 𝜔!! + 2𝛼!(𝜃 − 𝜃!) Kinematic equations for describing angular motion with constant angular acceleration. 𝑔 = 𝐹! 𝑚 Calculate gravitational force on an object with mass m in a gravitational field of strength g in the context of the effects of a net force on objects and systems. 𝐹! ≤ 𝜇 𝐹! 𝐹! = 𝑘 𝑥 Make claims about various contact forces between objects based on the microscopic cause of these forces. Explain contact forces (tension, friction, normal, spring) as arising from interatomic electric forces and that they therefore have certain directions. 𝑎 = Σ𝐹 𝑚 = 𝐹!"# 𝑚 If an object of interest interacts with several other objects, the net force is the vector sum of the individual forces. 𝐹! = 𝐺 𝑚!𝑚! 𝑟! Use Newton’s law of gravitation to calculate the gravitational force that two objects exert on each other and use that force in contexts other than orbital motion. Calculate gravitational force between