Physics 11-0-Formulas - Useful Information. h hc. Earth's mass Earth's radius. Speed of light. Moon's radius. Moon's mass.
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1 Physis - 0-Fomulas - Useful Infomation unifie atomi mass unit u.66 x 0-7 kg 9 Me V/ Poton mass m p.67 x 0-7 kg Neuton mass m n.67 x 0-7 kg Eleton mass m e 9. x 0 - kg The hage of eleton e.6 x 0-9 C Avogao's numbe N x 0 mol - Univesal gas onstant R 8. J/(mol. K) Boltzmann's onstant k B.8 x 0 - J/K Spee of light.00 x 0 8 m/s Plank's onstant h h 6.6 x 0- J.s. x 0-5 ev.s.99 x 0-5 J.m. x 0 ev.nm Vauum pemittivity ϵ x 0 - C /N.m Coulomb's law onstant k 9.0 x 0 9 N.m /C Vauum pemeability μ 0 π x 0-7 (T.m)/A Magneti onstant k' 'μ 0 /π 0-7 (T.m)/A Univesal gavitational Constant G 6.67 x 0- m /kg.s Aeleation ue to gavity at the Eath's sufae g 9.8 m/s atmosphee pessue atm.0 x 0 5 N/m.0 x 0 5 Pa eleton volt ev.60 x 0-9 J Eath's mass Eath's aius Spee of light Moon's aius Moon's mass Sun's mass 5.98x0 kg 6.7x0 6 m.0x0 8 m/s.7x0 6 m 7.5x0 kg.98x0 0 kg Fato Pefix symbol Fato Pefix symbol 0 9 giga G 0 - enti 0 6 mega M 0 - milli m 0 kiga k 0-6 mio μ 0-9 nano n 0 - pio p
2 Units Units Units Units mete m kilogam kg seon s ampee A kelvin K mole mol hetz Hz newton N pasal Pa joule J watt W oulomb C volt V ohm Ω heny H faa F tesla T egee Celsius C eleton volt ev θ Sin θ Cos θ Tan θ Newtonian Mehanis 5 vv 0 +at a aeleation xx 0 +v 0 t+ at v v 0 + a(x x 0 ) F f h J foe fequeny height impulse Σ F F net ma K kineti enegy F fi μ N k sping onstant a v l m length mass τf sin θ N nomal foe pmv P powe J F Δ tδ p p momentum
3 K m v ΔU g mgh T peio W F Δ F Δ os θ t time aius position veto F s kx U potential enegy U s kx T s π m k T p π l g T f F G Gm m U G Gm m v W x μ θ τ ω α veloity o spee wok one on a system position oeffiient of fition angle toque angula spee angula aeleation Eletiity an Magnetism F πϵ 0 q q E F q E A Q ϵ 0 E V E avg V U E qv q q πϵ 0 V π ϵ 0 Σ i q i i C Q V A B C E ε F I l P Q q R t U V aea magneti fiel apaitane eleti fiel emf foe uent length powe hage point hage esistane istane time potential (stoe) enegy eleti potential o potential iffeene
4 C k ϵ 0 A U QV CV I Q t v ρ ϕ m L veloity o spee esistivity magneti flux inutane n numbe of loops of wie pe unit length I avg ΔQ Δt R ρ l A V IR PVI k ieleti onstant C p Σ i C i Σ C i s C i R s Σ i R i Σ R i p R i Eletiity an Magnetism F B qvbsin θ F B BIl sin θ B μ 0 I π ϕ m B ABAosθ ϵ avg ϕ m Δ t ϵblv F M qv xb B lμ 0 I F I l x B B s μ 0 nl ϕ m B A
5 ϵ ϕ m t ϵ L I t U L LI Flui Mehanis an Themal Physis p p 0 +ρ gh A aea F buoy ρvg speifi heat o mola speifi heat A v A v e F p+ρ gy+ ρ v onst. h K avg effiieny foe epth aveage moleula kineti enegy Δlα l 0 Δ T L heat of tansfomation QmL l length Qm Δ T M moleula mass p F A m n Flui Mehanis an Themal Physis mass of sample numbe of mole pv nrt p pessue K avg k BT v ms RT M k BT μ Q T U V heat tansfee to a system tempeatue intenal enegy volume W p Δ V v veloity o spee Qn ΔT v ms oot-mean-sque veloity ΔU Q+W W wok one on a system ΔU n V ΔT y height e W Q H α μ e T H T C T H ρ ensity oeffiient of linea expansion mass of moleule
6 Waves an Optis v f λ sepaation n v n sin θ n sin θ L istane sin θ C n n s i + s 0 f M h i h 0 s i s 0 f R f h M m n R s v x λ fequeny o foal length height magnifiation an intege inex of efation aius of uvatue istane spee sin θm λ θ angle x m mλ L Atomi an Nulea Physis position wave length Ehf p E enegy K max hf ϕ f fequeny λ h p K m kineti enegy mass Δ E(Δ m) p momentum Geomety an Tigonomety λ wave length ϕ wok funtion Retangle Abh A aea Tiangle A bh C V iumfeene volume Cile Aπ,C π S sufae aea Paallelepipe V lwh b base Cyline V π l, S π l+ π h height
7 Sphee V π,s π Right Tiangle L w length with a +b, sin θ a,os θ b, tan θ a b θ b a Cosine Law: a +b abos γ Sine Law : sin γ sin α a sin β b α b β a γ aius f x f u u x CALCULUS a aeleation x ( xn )nx n F foe x (e x )e x x (ln x) x (sin x)os x x (os x) sin x x x n x n+ x n+,n e x xe x x xln x os x xsin x sin x x os x ax n xa xn+ +C --> n+
8 axax, axxa x ax xa x, ax xa x b ax n xa xn+ n+ a[ n+ b n+ bn+ n+ ] --> b a xa x b a [ b ], x b ax xa a[ b b ], b ax xa x a[ b b ], b ax xa x b a[ b ], a xa ln x+c x a b x xa ln x ba [ ln ln b ]a[ ln b ] CALCULUS
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