Exam-F-equation-spring2009-phys172

# Exam-F-equation-spring2009-phys172 - dp =F dt p = γ mv γ=...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: dp =F dt p = γ mv γ= 1 v 1− c 2 v= p/m p 1+ mc 2 Fspring = k S s Fgrav = G Mm r 2 U spring = U grav k kS x 2 ω= S ω = 2π f = 2π / T 2 m Mm =G ; Near surface of Earth: Fgrav = mg U grav = mgh r K total = K trans + K tot + K vib K total 2 ptotal 1 2 (non-relativistic) = M total vcm = 2 2 M total ptotal = mtotal vcm (non-relativistic) L2 1 rot = Iω 2 2I 2 dW = F • dr K rot = r= I = mr⊥2 , for point mass distance r⊥ from axis m1r1 + m2 r2 + m3 r3 + ... ; M = m1 + m2 + m3 + ... M L = r × p = Iω τ = r×F E 2 − ( pc) 2 = (mc 2 )2 S = k ln Ω P (∆E ) = e − ∆E k BT Erest = mc 2 Ω= (q + N − 1)! q !( N − 1)! V2 V1 E = pc for massless photon 1 dS = T dEint P = nkT PV = nmoles RT R = kN A W =− Pdv ∆Ethermal = mC ∆T K trans = CV = 1 k × (deg rees _ of _ freedom) 2 vrms ≡ v 2 CP = CV + k 1 3 M v 2 = k BT 2 2 Efficiency=1 − TL / TH G = 6.7 × 10−11 N·m2/kg2 23 -1 v = 0.92vrms , for an ideal gas NA = 6×10 mol g = 9.8 N/kg c = 3 × 108 m/s k B = 1.38 × 10−23 J / K 1 atomic mass unit = 1.66 x 10−27 kg e = 1.6 x 10 −19 Coulombs ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online