Physics Cheat Sheet (Projectile Motion &amp; Energy) (2)

# Physics Cheat Sheet (Projectile Motion &amp; Energy)...

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Physics Formulas Vector Product a*b= ab sin o Projectile Motion x x v t o o - = ( cos ) θ v v g y y y o o ^ ( sin )^ ( ) 2 2 2 = - - θ y y v t gt o o - = - ( sin ) ^ θ 1 2 2 v v gt y o = - ( sin ) θ Work Work done by spring W Fd = cos θ F kx = - W Fdx x x i f = z W kx = - 1 2 2 ^ Power W t = Energy U kx = 1 2 2 U mgy = Systems of Particles x M mx cm i i i n = = 1 1 p mv = Collisions v v f i m m m m 1 1 2 1 2 1 = - + v v f i m m m 2 1 1 2 1 2 = + v v v f i i m m m m m m m 1 1 2 1 2 1 2 1 2 2 2 = + - + + v v v f i i m m m m m m m 2 1 1 2 1 2 1 1 2 2 2 = + + + - Inelastic Collision = m v m m V 1 1 2 = + ( ) J F t = Angular Displacement and Velocity and Acceleration θ ϖ α θ ϖ = = = s r t t Kinematic Equations for Constant Angular Acceleration ϖ ϖ α θ ϖ α ϖ ϖ αθ = + = + = + o o o t t t 1 2 2 2 2 2 θ ϖ ϖ θ ϖ α = + = - 1 2 1 2 2 ( ) o t t t Linear and Angular Variables s r v r a r a r t r = = = = θ ϖ α ϖ 2 Rotational Kinetic Energy and Rotational Inertia K I I mr = = 1 2 2 ϖ Parallel-Axis Theorem and Torque I I Mh rxF rF cm = + = = 2 τ τ θ sin Angular Momentum of a Particle l rxp = Rigid Body Angular Momentum L=Iw Oscillations frequency (f)=1 hertz=1Hz=1 oscillations per second
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