formulas203 - Some Ep’s Ep = mgh Ep-Gmm/R Ep = kx 2/2 E K...

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NAME ______________________________ Signature________________________ DATE: : ___________ PHY 203 Prof. John Rollino SEAT #_____________ To receive any credit your work must be shown. Answer all questions on this booklet in the spaces provided in PEN . Turn off all cell phones, beepers etc. DO NOT DETACH THIS FORMULA SHEET FROM THE EXAM BOOKLET! Some useful formulas: v avg = (x - x o )/t a avg = (v - v o )/t Constant acceleration: x - x o = at 2 /2 + v o t v -v o = at v 2 - v 2 o = 2a (x - x o ) x - x o = ( v + v o )t/2 Free fall: a = -g = -9.80 m/s 2 Projectile: v x = v o cos( θ o ) v y = v o sin( θ o ) -gt x - x o = v o cos( θ o )t y -y o = v o sin( θ o )t -gt 2 /2 y -y o = -g( x/v o cos( θ o )) 2 + xtan( θ o ) R = v 2 o sin(2 θ o )/g (y -y o ) max = (v o sin( θ o )) 2 2 2g Some forces: Gravity F = -Gm 1 m 2 /R 2 G = 6.67 x 10 -11 N-m 2 /kg 2 weight = mg F(spring) = -kx f s (max) = µ s N f k = µ k N Circular motion: s = θ R v = ωR v = 2 π R/T a(centripetal) = v 2 /R = Rω 2 Planetary: GM/(2 π ) 2 = R 3 /T 2 v(orbital) = (GM/R) ½ V(esc) = (2GM/R) ½ W = F Rcos θ E P = -W(cons) E K = W(total) E(total) = W(nonconservative)
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Unformatted text preview: Some Ep’s: Ep = mgh Ep -Gmm/R Ep = ( kx 2 )/2 E K = (½)mv 2 Pavg. = W/t P = Fvcos θ LCM Σ m v initial = Σ M V final ε = ( V 2- V 1 )/( v 1- v 2 ) X cm = Σ mx / Σ m Some collision equations: V ( m1 + m2) = m 1 v 1 + m 2 v 2 V 1 = [ ( m 1 -m 2 ) v 1 + 2 m 2 v 2 ]/ ( m 1 + m 2 ) Rotation: s = R θ v = Rω a = R α Τ = RFsin θ Τ = I α Ek = (½)Iω 2 I = mR 2 L = mvR L = Iω k = (I/m) 1/2 Rotational inertias: I (disc) =(1/2)mR 2 I (rod about center) =(1/12) mR 2 I (rod about end) = (1/3) mR 2 I (hollow sphere) = (2/3) mR 2 I (solid sphere) = (2/5) mR 2 Simple harmonic motion: x = Asin ϖ t v = A ϖ cos ϖ t a = -ϖ 2 Asin ϖ t ϖ =(k/m) 1/2 or (g/L) 1/2 F = -kx Ep = (kx 2 )/2 Fluids ρ =m/V P = ρ gh B = ρ V displaced g ρ (H 2 O) = 1000 kg/m 3 sp.gr. = ρ / ρ (H 2 O) Bernoulli: P 1 – P 2 = ρ g( h 2 – h 1 ) + ρ ( v 2 2 – v 1 2 )/2 `...
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