Equation sheet 2211

# Equation sheet 2211 - Equation sheet Constants Value of...

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Equation sheet Constants: Value of acceleration due to gravity g =9 . 8 m/s 2 Gravitational constant G =6 . 67 × 10 - 11 Nm 2 /kg 2 Radius of Earth R e . 37 × 10 6 m Mass of Earth M e =5 . 98 × 10 24 kg Avogadro constant Boltzman constant N A . 022 × 10 23 Boltzman constant k B =1 . 38 × 10 - 23 J/K Ideal gas constant R = N A k B =8 . 31 J/mol/K Equations of kinematics for motion with constant linear acceleration: 1. Horizontal direction 2v x,f = x,i + 2a x · ( t f - t i ) 2x f = i + x,i ( t f - t i )+ x 2 ( t f - t i ) 2 v 2 x,f = v 2 x,i +2 x ( f - i ) 2. Vertical direction y,f = y,i + y · ( t f - t i ) 2 y f = 2 y i + y,i ( t f - t i y 2 ( t f - t i ) 2 v 2 y,f = v 2 y,i y ( 2 y f - 2 y i ) 1

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Newton’s second law 2 F net = ± i 2 F i = m2a F net,x = ± i F i,x = ma x F net,y = ± i F i,y = ma y Circular motion ω r = dt v t = ωr a r = v 2 r = ω 2 r ( F net ) r = ± F r = ma r = mv 2 r = 2 r ( F net ) t = ± F t =0 ( F net ) z = ± F z Newton’s law of gravity 2 F = - GMm R 2 ˆ r Kinetic energy: K = m 2 v 2 Potential energies Gravitational energy of a body h m above (close) to the earth U = mgh + C Gravitational energy in general U = - R + C 2
Spring energy U = k 2 x 2 + C Work W = 2 F Δ 2 r Work energy theorem W (1 2) = K 2 - K 1 Energy conservation: K 2 - K 1 + U 2 - U 1 = W nc W nc = 2 F nc Δ 2 r

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## This note was uploaded on 10/29/2009 for the course PHYS 8978 taught by Professor Collins during the Spring '09 term at TN State.

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Equation sheet 2211 - Equation sheet Constants Value of...

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