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Final_EXAM_EQ_Sheet

# Final_EXAM_EQ_Sheet - USEFULINFORMATION r = v avg t p =...

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USEFUL INFORMATION Δ p = F net Δ t Δ r = v avg Δ t F grav = G Mm r 2 ; approx. mg near surface of Earth F spring = k s s , opposite the stretch G = 6.7 × 10 11 N·m 2 /kg 2 g = 9.8 N/kg c = 3 × 10 8 m/s 1 4 πε 0 = 9 x 10 9 Nm 2 / C 2 k B = 1.38 × 10 23 J / K p = m γ v γ = 1 1 v 2 c 2 p m v , if v is small compared to c U electric = 1 4 πε 0 q 1 q 2 r U spring = 1 2 ks 2 U gravity = GMm r Δ E system = W surroundings + Q E = m γ c 2 for a single particle E = mc 2 + 1 2 mv 2 for a single particle if v << c F air = 1 2 C ρ air Av 2 F buoyancy = ρ air ρ object mg K trans = 1 2 mv 2 W = F Δ r Δ L A = τ A Δ t Δ E thermal = mC v Δ T I disk = I cylinder about l ong axis = 1 2 MR 2 I sphere = 2 5 MR 2 Moment of inertia if a thin cylinder rotating about an axis perpendicular to the cylinder, through the center of the cylinder I cylinder = 1 12 ML 2 ! F net ! = mv 2 R = m " 2 R f = μ N ! = 2 " f = 2 " T

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τ A = r A × F I = m i r
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Final_EXAM_EQ_Sheet - USEFULINFORMATION r = v avg t p =...

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