Phy 101 Form 0 Formulae

# Phy 101 Form 0 Formulae - 2 rad = 1 rev = 360 s = r = t =...

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Physics 101 FORM 0 FORMULAE SHEET Quadratic equation: ax 2 + bx + c =0= ) x = b p b 2 4 ac 2 a Vectors: ~ A = A x ^ x + A y ^ y , A x = A cos A , A y = A sin A , A = q A 2 x + A 2 y , tan A = A y A x ~ A + ~ B =( A x + B x )^ x +( A y + B y )^ y , ~ A ~ B = ~ A +( ~ B ), ~ r = ~ r f ~ r i Relative velocity: ~v AC = ~v AB + ~v BC , ~v BA = ~v AB Motion at constant acceleration: x 0 x ( t = 0), ~v 0 ~v ( t = 0), v x = v 0 x + v x 2 v x = v 0 x + a x t , x = x 0 + v x t , x = x 0 + v 0 x t + 1 2 a x t 2 , v 2 x = v 2 0 x +2 a x ( x x 0 ) Free fall and projectile motion: ~a = g ( ^ y ), g =9 : 81 m/s 2 , R = v 2 0 sin (2 0 ) g Newton's Laws: ~ F net = P ~ F = m~a , ~ F BA = ~ F AB Weight: ~ W = mg ( ^ y ), friction: kinetic: f k = k N , static: f s s N Springs: F x = kx , circular motion: ~a cp = v 2 r ( ^ r ), ~ f cp = mv 2 r ( ^ r ) Work and Energy: W = F k d = Fd cos , K = mv 2 2 , P W = K , P = W t = F k v W c = U , U g = mgy , U s = kx 2 2 , E = K + U , W nc = E Impulse and Momentum: ~ p = m~v , ~ I = ~ F t = ~ p If the net external impulse is zero then ~ p tot = P ~ p = const Two particle collision: m 1 ~v 1 i + m 2 ~v 2 i = m 1 ~v 1 f + m 2 ~v 2 f , completely inelastic: ~v 1 f = ~v 2 f Elastic collision: K f = K i , in one dimension: v 2 f v 1 f = v 1 i v 2 i Center of mass: x cm = P m i x i = P m i , ~ p cm = ~ p tot , rocket: F = v m t Rotational Motion:
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Unformatted text preview: 2 rad = 1 rev = 360 , s = r , ! = t , ! = 2 T , = ! t ! = ! + t , = + ( ! + ! ) t 2 , = + ! t + 1 2 t 2 , ! 2 = ! 2 + 2 ( ) v t = r! , a cp = r! 2 , a t = r , ~a = ~a cp + ~a t , rolling motion: v = v t , a = a t Rotational kinetic energy: K rot = I! 2 2 , I = P m i r 2 i , K = mv 2 cm 2 + I cm ! 2 2 Torque: = r ? F = rF ? = rF sin , net = P = I = L t , work: W rot = Angular momentum: L = rp sin = I! , if net ; ext = 0 then L tot = const...
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