Physics mechanics formula sheet, Cheat Sheet of Physics

Download Physics mechanics formula sheet and more Cheat Sheet Physics in PDF only on Docsity! Formula Booklet: Physics Mechanics Average velocity Δ Δ s v t = unit: 1m s− Average acceleration Δv Δ a t = unit: 2m s− Equations of uniformly accelerated motion 0 v v a t= + 2 0 0 2 a s s v t t= + + Force F m a= Elastic force ΔF k s= − k: spring constant Momentum Definition p m v= unit: -1kgm s Δ ΔF t m v= for constant m Δ Δ p F t = Work and Energy ΔW F s= unit: joule J 2 2 21J 1Nm 1kg m s−= = Kinetic energy 2 kin 1 2 E m v= Change in kinetic energy 2 kinΔ Δ 2 m v E W   = =    Energy stored in an initially unstretched spring ( ) 21 Δ Δ Δ 2 2 k W E F s s= = = Potential gravitational energy pot Δ ΔE F s m g h= − = in a uniform field 1 2 pot m m E G r = − in a radial gravitational field Electrical potential Energy π 1 2 pot 04 Q Q E r = Mechanical energy of charge Q2 (Q1) in circular motion around Q1 (Q2) π 1 2 mech 08 Q Q E r = Electron Volt unit: eV Energy equivalent to that of an electron accelerated from rest by a potential difference of 1 V Uniform Circular Motion Angle d r = unit: rad (radian) d: arc length, r: radius Angular velocity Δ Δ v t r   = = unit: rad s-1 or 1s− Period π2 1 T f = = Centripetal acceleration 2 2 cent v a r r = = Centripetal force 2 2 cent m v F m r r = = Simple Harmonic Motion Definition F k x= − ( )sinx A t= Velocity ( )cosv A t = Acceleration ( )2 2sina A t x  = − = − where π π2 2f T = = Energy 2 21 2 E m A = Gravitation Gravitational force 1 2 G 2 m m F G r = G: universal gravitational constant 2021-01-D-19-en-6 Formula Booklet - Physics S6-S7 Version 6 Electricity and Magnetism Electric field intensity F E Q = unit: 1 11NC 1V m− −= Work done by electric force ( )AB A BΔW Q U Q U U= = − Electric potential A A E U Q = Electric field Intensity due to a point charge π 24 Q E r = ε: unit: 1F m− permittivity of the mediumin which the experiment is conducted Force between two point charges π 1 2 24 Q Q F E Q r = = Capacitance Q C U = unit: farad F 11F 1C V−= Parallel plate capacitor A C d = Energy stored in a charged capacitor 2 2 2 2 2 Q C Q E U U C = = = Parallel circuits 1 2 3 ...C C C C= + + + Series circuits 1 2 3 1 1 1 1 ... C C C C = + + + Time constant T R C= Magnetic Induction or Magnetic Flux Density Δ sin F B I L  = unit: tesla T 1 11T 1N A m− −= Magnetic Induction due to a solenoid N I B L = Permeability r 0   = π 7 1 0 4 10 T m A − −= Lorentz force L sinF B q v = Magnetic flux B A = where B ⊥ A unit: weber Wb 21Wb 1T m 1V s= = Induced electromotive force Δ Δ Δ Δ A B U B v I t t  = − = − = inductance, self and mutual Symbol ,L M unit: henry H 1 11H 1Vs A 1WbA− −= = in one circuit d d d d I U L t t   = − between two circuits d d d d I U M t t   = − Waves Progressive wave πsin 2 t x y A T     = −      Refractive index of a Medium ' c n c = wave speed ... c: ... in vacuum c’: ... in the medium Path difference PA PB = − unit: meter m  at a point P, where A and B are the positions of two coherent sources Doppler effect Δ , f v v c f c =  v: speed of approach c: wave speed Quantum Mechanics Work function 0 W unit: joule J The minimum energy to extract an electron from a given metal’s surface Photon energy E h f= h: Planck constant Photon momentum h p  = De Broglie wavelength h h p m v  = = Atomic mass unit Symbol u 1 u = 1/12 mass of a Carbon-12 atom Mass-energy equivalence 2E m c= Binding energy 2ΔE m c= − Radioactive Decay Activity d d N A t = − unit: becquerel Bq 11Bq 1s−= Decay constant 1 d d A N N N t  = = − unit: s-1 2021-01-D-19-en-6 Formula Booklet - Physics S6-S7 Version 6