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PHY Cheat Sheet - L/T L x b b2 4ac 2 2 r2 x2 y2 T T t 2a u...

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SOH-CAH-TOA [ ] [ ] [ ] [ ] [ ] 2 2 / v x L T L a t T T t = = = = 2 2 2 r x y = + 2 4 2 b b ac a - ± - f i X X X = - . . . tot dist Avg Speed tot time = X V t = u v V a t = v 2 1 2 h at = D V T = 0 x a = 9.81 y a = - o V V at = + 2 1 2 o X V t at = + 2 2 2 f o V V a X = + 2 2 x y V V V = + 1 tan y x V V θ - = cos x o o V V θ = sin y o o V V θ = F ma = u v w mg = Atwood’s Machine: 2 1 1 1 2 m m a g m m - = + 2 1 1 2 m m T g m m = + s f F = - , , , s s F f F f k F f = max s s f f n μ = = k k f n μ = s k μ μ 1 2 ( ) 0 T T mg + - = To Find Largest Angle: ( 29 1 tan s θ μ - = sin cos k incline a g g θ μ θ = - ( 29 new o S g S a g = + 2 1 1 2 k m g m g a m m μ - = + Relative Velocity : the velocity of an object relative to the velocity of the observer AB AE BE V V V = - AB AE BE r r r = - AE r = position of car A as measured by E BE r = position of car B as measured by E AB r = position of car A as measured by car B Avg. Velocity: slope of a straight line connecting the final/initial points. Sig. Digits: +/- (smallest # of decimal places of any term) x/ (digits in final answer = # w/ the least digits). Dynamics: study of motion and physical concepts (force & mass). Kinematics : part of dynamics that describes motion w/o cause. Vector: magnitude and direction. Scalar: only magnitude. Newton’s 1 st Law: an object moves with a velocity that is constant in magnitude & direction, unless acted on by a NON-ZERO net force. --“objects move b/c the opposite force is exherted on a diff. object then the one being moved”. Inertia : tendency of an object to continue in its original state of motion; it’s a property of matter to resist changes in motion. Mass : measure of an objects resistance to changes in its motion due to a force (kg) *greater the mass, the less it accelerates under a force, greater its inertia. Newton’s 2 nd Law: accel. of an object is directly proportional to the net force acting on it, inversely prop to its mass. Gravitational Force : mutual force of attraction btwn any 2 objects in the universe (weakest of all fundamental forces). Newton’s Law of Gravitation : every particle attracts every other particle w/ a force that is directly proportional to the product of the masses, inversely prop. to the square of the distance between them. Newton’s 3 rd Law: Forces in nature come in pairs. Force exerted by object 1 on 2 is equal to the opposite force exerted by object 2 on 1. (action – reaction). Tension: magnitude of the force exerted along a rope – it’s the same at all points on the rope. tot E KE PE = + av F a m = Work F x = cos W F x θ = av F a m = 2 1 2 KE mv = 2 2 1 1 2 2 net f i W mv mv = - PE mgy = ( ) w F x Power P Fv t t = = = Work: Scalar Quantity, only the component parallel to displacement does work. KE: Scalar Quantity (KE on earth = KE on moon). Conservative Force: (gravity) Does not depend on a path. Non-Conservative: (friction/heat/sound) Depends on a path. Conservation of Energy: energy can’t be created or destroyed ONLY transferred from one form to another.
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