[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-201742-en":3,"doc-seo-201742-105":30,"detail-sidebar-cat-0-en-105":95},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},201742,962085571259,"Putri","https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",4,"Exam","Equation Sheet Physics 141 - Physics equations and formulas","Comprehensive Physics 141 equation sheet compiling key mechanics, rotational motion, energy, momentum, forces, and oscillation relationships. Covers 1D kinematics, uniform circular motion, rotational kinematics, gravitational and electrostatic forces, harmonic, damped, and driven motion, stress-strain and work-energy concepts. Includes power, relativistic energy relations, potential energies (gravity, electric, spring), heat capacity, friction and air drag, hydrogen atom energy levels, vibrational levels, light energy/wavelength, center-of-mass and multi-particle potentials, impulse, and collision formulas.","Equation Sheet Physics 141  \nThe momentum principle:  \n! !  \ndp = Fnet dt  \n!  \np =  \n!  \nmv  \n! ! ! pnew = pold + Fnet!t  \n! ! rnew = rold +  \n!  p!  $\\#\" m %&'t  \nEquations of motion in 1D for constant acceleration and low velocities (v \u003C\u003C c):  \nx ( t ) = x0 + v0 t + 12 at2  \nv ( t ) = dxdt~~ ~~) = v0 + at  \na ( t ) = dvdt~~ ~~) = a = constant Requirement for uniform circular motion:  \nFr  \n=  \nmv2  \nr  \nRotational motion:  \nd = !r  \nv = !r ! =  \na = !r ! =  \nGravitational force:  \nd\"  \ndt  \nd\"  \ndt  \nF! = G ~~ ~~m1rm22~~ ~~ ˆr  \n! !  \nF = mg (close to the surface of the Earth)  \nElectrostatic force:  \n!  1 q1q2  \nF = ! ˆr  \n4\"\\#0 r 2  \nHarmonic motion:  \nF = !kx  \nx ( t ) = xmax cos(!t + \" ) where  \n2!  \nT = ~~ ~~  \n\"Damped harmonic motion:  \nbt k  \nx ( t ) = xme!  2meit m Driven harmonic motion:  \nx ( t ) = !02F0\"~~ ~~!~~ ~~2~~ ~~ cos(!t + \\# ) Stress and strain:  \nFA = Y ~~ ~~!LL  \nY = ksd Work done by a force:  \n! !  \nW = Fid constant force  \n!  \n=  F! id!r variable force r  \n1  \nPower:  \ndW  ! ! P = = Fiv  \ndt  \n! =  \nEquation Sheet Physics 141  \nWork-energy theorem:  \n!Esystem = W  \nEsystem = ( E1 + E2 + E3 + .....) + U  \nRelativistic energy relations:  \nmc2 2  \nE = ~~   ~~ = mc + K  \nv2  \n 1 ! ~~ ~~  \n c2  \nE2 ! (pc )2 = ( mc2 )2  \nmc2 2 1 K = ~~   ~~ ! mc \" ~~ ~~  \nv2 v!c 2  \n 1 ! ~~ ~~  \n c2  \nmv2  \nPotential energy:  \n!U = \"Winternal = \"\\# F! id!r F! = !\"! U = &$&!!  \\#\\#\\#\\#UxUy  ')))%& ! \\#\\#Uz ())  \nm1m2 U = !G ~~ ~~  \ngravity r  \nUgravity = mgh Uelectric = 41!\"0~~ ~~ q1qr2  \nUspring = 12 kx2 Heat capacity:  \n!Ethermal = mC!T  \nFriction forces:  \nfs ! µsN  \nfk = µkN Drag force (air):  \n!  1  \nFair = ! C\"Av2 ˆv  \n2  \nEnergy levels for the Hydrogen atom:  \n!13.6  \nEN = N2 eV, N = 1, 2, 3, ... Vibrational energy levels:  \nks  \nEN = E0 + N!!0 = E0 + N! m , N = 0, 1, 2, ..  \nEnergy and wavelength of light:  \n hc   \nEphoton = !light Center of mass:  \n!rcm = !i mi !ri = 1  ! m !r M i i i  \n! mi  \ni  \n!rcm = !!!rdmdm = ~~ ~~1M ! !rdm Motion of the center of mass:  \n! !  \nMacm = Fnet,ext  \nGravitational potential energy of a multi-particle system:  \nU = Mgycm  \nEquation Sheet Physics 141  \nKinetic energy of a multi-particle system:  \nK = K + K =  1 Mv 2 + K  \ntrans rel 2 cm rel  \nImpulse of a force:  \n! !  \nJ = ! Fdt  \nMomentum and impulse:  \n! ! !  \nJ = pf ! pi  \nConservation of linear momentum:  \n! !  \n!Psystem + !Psurroundings = 0  \nElastic collision in one dimension (mass 2 at rest before the collision):  \nm1 ! m2  \nv1 f = v1i  \nm1 + m2  \n 2m1   \nv2 f = v1i  \nm1 + m2  \nCompletely inelastic collision in one dimension (mass 2 at rest before the collision):  \nvf  \n=  \n m1  m1 + m2  \nvi","cbCaidBDg7QFejEH","https://ap.wps.com/l/cbCaidBDg7QFejEH","pdf",1094787,1,3,"English","en",105,"# Momentum and impulse\n## Conservation of momentum\n# Kinematics and motion\n## 1D constant acceleration\n## Uniform circular motion\n## Rotational motion\n## Center of mass\n# Forces and potentials\n## Gravitational and electrostatic forces\n## Electrostatic, spring, and potential energy\n## Friction and drag\n# Energy and work\n## Work-energy theorem\n## Power\n## Kinetic energy (multi-particle)\n## Relativistic energy relations\n# Oscillations and stress\n## Harmonic motion\n## Damped and driven harmonic motion\n## Stress and strain\n# Atomic and light relations\n## Hydrogen energy levels\n## Vibrational levels\n## Photon energy and wavelength\n# Collisions\n## Elastic collisions\n## Completely inelastic collisions","[{\"question\":\"What equations are included for 1D motion under constant acceleration?\",\"answer\":\"The sheet provides position x(t)=x0+v0 t+1/2 at^2 and velocity v(t)=v0+at, along with a=constant relationship via derivatives.\"},{\"question\":\"How does the equation sheet express work, energy, and power?\",\"answer\":\"It includes W=F_i d for constant force, the work-energy theorem ΣE_system=W (and relates total energy to kinetic parts plus potential), and power P=dW/dt.\"},{\"question\":\"Which formulas for momentum and collisions are listed?\",\"answer\":\"It includes impulse J=∫Fdt and momentum relations J=pf−pi, conservation of linear momentum, plus 1D elastic and completely inelastic collision formulas for masses and velocities.\"}]","Equation Sheet Physics 141 - Physics equations and formulas | PDF",1788537974,8,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":90,"head_meta":92,"extra_data":94,"updated_unix":28},"equation-sheet-physics-141-physics-equations-and-formulas","",{"@graph":36,"@context":89},[37,52,72],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,50],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":21},"https://docshare.wps.com/document/exam/",{"item":51,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/equation-sheet-physics-141-physics-equations-and-formulas/201742/",{"url":51,"name":13,"@type":53,"image":54,"author":59,"headline":13,"publisher":61,"fileFormat":64,"inLanguage":23,"description":14,"dateModified":65,"datePublished":66,"encodingFormat":64,"isAccessibleForFree":67,"interactionStatistic":68},"DigitalDocument",{"url":55,"@type":56,"width":57,"height":58},"https://docshare.wps.com/thumbnails/equation-sheet-physics-141-physics-equations-and-formulas/201742.png","ImageObject",300,407,{"name":9,"@type":60},"Person",{"url":41,"name":62,"@type":63},"DocShare","Organization","application/pdf","2026-09-11","2026-09-04",true,{"@type":69,"interactionType":70,"userInteractionCount":20},"InteractionCounter",{"@type":71},"ViewAction",{"@type":73,"mainEntity":74},"FAQPage",[75,81,85],{"name":76,"@type":77,"acceptedAnswer":78},"What equations are included for 1D motion under constant acceleration?","Question",{"text":79,"@type":80},"The sheet provides position x(t)=x0+v0 t+1/2 at^2 and velocity v(t)=v0+at, along with a=constant relationship via derivatives.","Answer",{"name":82,"@type":77,"acceptedAnswer":83},"How does the equation sheet express work, energy, and power?",{"text":84,"@type":80},"It includes W=F_i d for constant force, the work-energy theorem ΣE_system=W (and relates total energy to kinetic parts plus potential), and power P=dW/dt.",{"name":86,"@type":77,"acceptedAnswer":87},"Which formulas for momentum and collisions are listed?",{"text":88,"@type":80},"It includes impulse J=∫Fdt and momentum relations J=pf−pi, conservation of linear momentum, plus 1D elastic and completely inelastic collision formulas for masses and velocities.","https://schema.org",{"og:url":51,"og:type":91,"og:title":13,"og:site_name":62,"og:description":14},"article",{"robots":93,"canonical":51},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":96},[97,101,105,108,113,118,123,127,132,135,139],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":98,"show_sort_weight":99,"slug":100},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":102,"show_sort_weight":103,"slug":104},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":106,"slug":107},70,"exam",{"id":109,"doc_module":4,"doc_module_name":46,"category_name":110,"show_sort_weight":111,"slug":112},5,"Comic",60,"comic",{"id":114,"doc_module":4,"doc_module_name":46,"category_name":115,"show_sort_weight":116,"slug":117},6,"Technology",50,"technology",{"id":119,"doc_module":4,"doc_module_name":46,"category_name":120,"show_sort_weight":121,"slug":122},7,"Healthcare",40,"healthcare",{"id":29,"doc_module":4,"doc_module_name":46,"category_name":124,"show_sort_weight":125,"slug":126},"Research & Report",30,"research-report",{"id":128,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":130,"slug":131},9,"Religion & Spirituality",20,"religion-spirituality",{"id":130,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":130,"slug":134},"World Cup","world-cup",{"id":136,"doc_module":4,"doc_module_name":46,"category_name":137,"show_sort_weight":136,"slug":138},10,"Lifestyle","lifestyle",{"id":140,"doc_module":4,"doc_module_name":46,"category_name":141,"show_sort_weight":109,"slug":142},19,"General","general"]