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Flipping Physics Lecture Notes: AP Physics 1: Equations to Memorize ® AP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. Let me be clear about what I mean by “memorize”: I mean you should have the equation memorized, know what it means and know when you can use it. This is a lot more than just being able to write down the equation. The following equations are not on the Equation Sheet provided by the AP College Board for the AP Physics 1 exam: • ! ! distance ! Δx ! Δv speed = ;v = ;a= time Δt Δt Please make sure you understand the differences between vectors and scalars, please.♥ o • Δx = ) This is another Uniformly Accelerated Motion (UAM) equation you should know. o • ( 1 v + v i Δt 2 f Fg = mg sin θ & Fg = mg cos θ ⊥ ! When an object is on an incline, we often need to sum the forces in the parallel and o perpendicular directions, which necessitates resolving the force of gravity into its components in the parallel and perpendicular directions. Note: theta in this equation is the incline angle. o • Equations having to do with Mechanical Energy: ME i = ME f : Conservation of Mechanical Energy can be used when there is no work done by o the force of friction or the force applied. • o Wf = ΔME : Can be used when there is no work done by the force applied. o Wnet = ΔKE : Is always true. P= ΔE W Fd cos θ = = = Fv cos θ Δt Δt Δt This is useful because you have power in terms of velocity. o • ! ! ∑p =∑p i o f Conservation of linear momentum is valid when the net force acting on the system is zero, which is true during all collisions and explosions. • ! ! ! Δθ ! Δω ω= &α = Δt Δt o ♥ Angular velocity and angular acceleration were, sadly, left off the equation sheet. Yes, that’s a double please. 0117 Lecture Notes - AP Physics 1 Equations to Memorize.docx page 1 of 2 • ω f 2 = ω i 2 + 2αΔθ & Δθ = ( ) 1 ω + ω i Δt 2 f These two Uniformly Angularly Accelerated Motion (UαM) equations were also, sadly, left off o the equation sheet. • ! ! v t = rω The tangential velocity of an object. o • • • v cm = Rω o The velocity of the center of mass of an object rolling without slipping. o The equation for the centripetal force acting on an object to keep it moving in a circle. ! ! ∑ Fin = mac I = ∑ mi ri 2 i • o The moment of inertia or “rotational mass” of a system of particles. o Conservation of Angular Momentum, valid when the net external torque acting on the system is ! ! ∑ Li =∑ Lf zero. • ΔV = o • =0 The beat frequency heard due to the interference of two similar single frequency sounds. q = ne o • external fbeat = f1 − f2 o • ! ∑τ The net change on an object equals the number of excess charges times the elementary charge. ΔPE electrical q The electric potential difference equals the change in electrical potential energy divided by charge. P = I ΔV is the only equation for electric power on the equation sheet. ΔV = IR ⇒ I = ΔV ΔV ⇒R= we can find two more. R I o However, using o ⎛ ΔV ⎞ ΔV 2 P = I ΔV = I IR = I R = ⎜ R= R ⎝ R ⎟⎠ o ΔV 2 P = I ΔV = I R = (This is what you should memorize for electric power.) R ( ) 2 2 2 0117 Lecture Notes - AP Physics 1 Equations to Memorize.docx page 2 of 2