[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-315378-105":59,"doc-detail-315378-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","phys1205-integrated-physics-cheatsheet","PHYS1205 - Integrated Physics - Cheatsheet","","PHYS1205 Integrated Physics cheatsheet compiles core one-dimensional motion, vectors and 2D kinematics, and standard dynamics topics including Newton’s laws, equilibrium, friction, and circular motion. It consolidates energy and power (work–energy theorem, conservation of energy), momentum and impulse, rotation kinematics and dynamics (inertia, torque, angular momentum), and key wave and SHM relations for sound and EM waves. Includes projectile, free-fall, relative velocity, and collision rules for exam-ready quick reference.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/phys1205-integrated-physics-cheatsheet/315378/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/phys1205-integrated-physics-cheatsheet/315378.png","ImageObject",300,407,{"name":92,"@type":93},"Eden","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",21,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the difference between average and instantaneous velocity in 1D motion?","Question",{"text":113,"@type":114},"Average velocity uses total displacement over total time, while instantaneous velocity is the velocity at a specific moment, defined through the time-derivative form of position.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do Newton’s laws relate to forces and motion?",{"text":118,"@type":114},"Newton’s 1st law states that without net external force, velocity remains constant. Newton’s 2nd law links net force to acceleration (net force equals mass times acceleration). Newton’s 3rd law states forces between two interacting objects are equal in magnitude and opposite in direction.",{"name":120,"@type":111,"acceptedAnswer":121},"What equations connect work, kinetic energy, and power?",{"text":122,"@type":114},"The work–kinetic energy theorem connects net work to the change in kinetic energy. Power relates work and/or energy transfer rate to time, using the standard power relation shown on the sheet.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},315378,1789994667,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":39,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":46,"preview_page_count":4},1374391974468,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","PHYS1205: Integrated Physics  \nUniversity of Newcastle  \n1 1D Motion  \nVector – A measurement with both magnitude and direction (e.g. Displacement)  \nScalar – A measurement with only magnitude (e.g. distance)  \nAverage Velocity  \n􀀡!\"\\# =  \nInstantaneous Velocity  \n􀀡!\"\\#$ =  \nAverage Acceleration  \n􀀡!\"\\# =  \n∆􀀡  \n∆􀀡  \n􀀡􀀢  \n􀀡􀀢  \n∆􀀡  \n∆􀀡  \nInstantaneous Acceleration  \n􀀡 !\"\\#$ =  \n􀀡􀀢  \n􀀡􀀢  \nFinal Velocity  \n􀀡!\" = 􀀡!\" + 􀀡! 􀀡  \nFinal Displacement with Avg. Velocity  \n􀀡! = 􀀡! + 12 (􀀡!\" + 􀀡!\")􀀡  \nFinal Displacement with Velocity and Acceleration  \n􀀡! = 􀀡! + 􀀡!\" 􀀡 + 12 􀀡! 􀀡 !  \nFinal Velocity without Time  \n􀀡!!\" = 􀀡!!\" + 2􀀡! 􀀡! − 􀀡!   \nObjects in Freefall – Acceleration is –g (9 .8m/s2)  \n2 Vectors and 2D Motion Vector Addition – Tip to Tail  \nVector Subtraction – From the negative to the positive, or add the negative (􀀡 − 􀀡 = 􀀡 + (−􀀡 ))  \nVector Multiplication/Division by a Scalar – Only magnitude is multiplied or divided. Direction is reversed for negative scalars.  \nVector Components  \n• Length  \n• Direction  \n􀀡  \n􀀡 = tan!!  !  \n􀀡!  \nUnit Vectors:  \n􀀡 = 􀀡 x􀀡 + 􀀡y􀀡  \nProjectile Motion  \n• Position  \n􀀡! = 􀀡! + 􀀡! 􀀡 + 12 􀀡 􀀡 !  \n• Initial Horizontal Velocity  \n􀀡!\" = 􀀡! cos 􀀡  \n• Initial Vertical Velocity  \n􀀡!\" = 􀀡! sin 􀀡  \nUniform Circular Motion  \n• Centripetal Acceleration  \n􀀡! =  \n• Overall Acceleration  \n􀀡 !  \n􀀡  \n|􀀡| = 􀀡!! + 􀀡!!  \n• Period  \n􀀡 =  \n2􀀡􀀢  \n􀀡  \nRelative Velocity  \n􀀡!\" = 􀀡!\" + 􀀡!\" 􀀡  \n3 Force and Motion  \nNewton’s 1st Law-In the absence of external forces, when viewed from an inertial reference frame, an object at rest will remain at rest and an object in motion continues in motion with a constant velocity Newton’s 2nd Law-Net Force is the product of Mass and Acceleration  \n􀀡􀀢 = 􀀡􀀢  \nNewton’s 3rd Law-If two objects interact, the force that object one is exerting on object 2 is equal and opposite to that object two is exerting on object one  \n􀀡!\" = −􀀡!\"  \nEquilibrium  \n􀀡􀀢 = 0  \nFriction  \n• Kinetic Friction  \n􀀡 = 􀀡! 􀀡  \n• Static Friction  \n􀀡 ≤ 􀀡! 􀀡  \nCircular Motion Dynamics  \n􀀡 = 􀀡􀀡! = 􀀡  \n􀀡 !  \n􀀡  \n4 Work, Energy and Power Scalar/Dot Product  \n􀀡 ∙ 􀀡 = 􀀡􀀢􀀣􀀤􀀥􀀦  \nWork  \n• Same Direction as Displacement  \n􀀡 = 􀀡∆􀀡  \n• Different Direction to Displacement  \n􀀡 = 􀀡∆􀀡􀀢􀀣􀀤􀀥  \n• Work by Varying Force  \n!!  \n􀀡!\"\\# =  􀀡! 􀀡􀀢  \n!!  \nHooke’s Law  \n􀀡! = −􀀡􀀢  \nKinetic Energy  \n􀀡􀀢 = 12 􀀡􀀡!  \nWork-Kinetic Energy Theorem  \n􀀡􀀢 = 􀀡􀀢􀀣  \nPotential Energy  \n• Gravitational  \n􀀡 = 􀀡􀀢􀀣􀀤  \n• Elastic  \n􀀡 = 12 􀀡􀀡!  \nConservative Force-Work done is independent of the path taken by an object (e.g. Gravity)  \nNon-conservative Force-Work done dependent othe motion of the object (e.g. Friction) Conservation of Energy  \n• Mechanical Energy  \n􀀡!\"\\#! = 􀀡􀀢 + 􀀡  \n• Total Energy  \n􀀡!\"! = 􀀡􀀢 + 􀀡 + 􀀡!\"\\#  \n• Non-Conservative Force Absent ∆􀀡!\"\\#! = 0  \n• Non-Conservative Force Present  \n∆􀀡!\"! = 0  \nPower  \n􀀡 =  \n􀀡􀀢  \n􀀡􀀢  \n5 Momentum  \nMomentum  \n􀀡 = 􀀡􀀡  \nImpulse  \n• Definition  \n􀀡 = ∆􀀡  \n• For Constant Force  \n􀀡 = 􀀡􀀢  \n• For Non-Constant Force  \n !!   \n􀀡 = 􀀡 . 􀀡􀀢  \n!!  \nCollisions  \n• Conservation of Momentum (All Collisions)  \n􀀡 ! = 􀀡!  \n• Conservation of KE (Elastic Collisions)􀀡􀀢! = 􀀡􀀢!  \n• Perfectly Inelastic  \n􀀡! 􀀡!! + 􀀡! 􀀡!! = (􀀡! + 􀀡!)􀀡!  \n• Perfectly Elastic  \n􀀡! 􀀡!! + 􀀡! 􀀡!! = 􀀡! 􀀡!! + 􀀡! 􀀡!! 12 􀀡! 􀀡!!! + 12 􀀡! 􀀡!!! = 12 􀀡! 􀀡!!! + 12 􀀡! 􀀡!!!  \n6 Rotation Arc Length  \n􀀡 = 􀀡􀀢  \nTranslational Velocity  \n􀀡 = 􀀡􀀢  \nTranslational Acceleration  \n􀀡 = 􀀡􀀢  \nAverage Angular Velocity  \n􀀡!\"\\# =  \n∆􀀡  \n∆􀀡  \nInstantaneous Angular Velocity  \n􀀡 􀀡􀀢􀀣􀀤 =  \n􀀡􀀢  \n􀀡􀀢  \nInstantaneous Angular Acceleration  \n􀀡 !\"\\#$ =  \n􀀡􀀢  \n􀀡􀀢  \nFinal Angular Velocity  \n􀀡! = 􀀡 ! + αt  \nFinal Angular Displacement  \n􀀡! = θ! + ωt + αt!  \nFinal Angular Velocity without Time  \nω!! = 􀀡 !! + 2α (θ! − θ! )  \nFinal Angular Displacement with Avg. Velocity  \nθ! = θ! + 12 (ω! + ω!)t  \nKinetic Energy of Rotation  \n!􀀡  \n􀀡! = ~~ ~~  􀀡 ! 􀀡!!  \n2  \nMoment of Inertia  \n• General  \n􀀡 =  􀀡􀀢 ! 􀀡􀀢  \n• Sphere  \n􀀡 = 25 􀀡􀀡!  \n• Cylinder  \n􀀡 = 12 􀀡􀀡!  \n• Disk  \n􀀡 = 􀀡􀀡!  \nParallel Axis Theorem  \n􀀡 = 􀀡!\" ×􀀡􀀡 !  \nTorque  \n• Usi","cbCaiuvSnH06AVuF","https://ap.wps.com/l/cbCaiuvSnH06AVuF","pdf",9935283,"English","# 1D Motion\n# Vectors and 2D Motion\n# Freefall, Projectiles and Uniform Circular Motion\n# Newton’s Laws, Equilibrium and Friction\n# Work, Energy and Power\n# Momentum and Impulse\n# Rotation and Angular Momentum\n# Waves, Oscillations and SHM\n# Sound and EM Waves","[{\"question\":\"What is the difference between average and instantaneous velocity in 1D motion?\",\"answer\":\"Average velocity uses total displacement over total time, while instantaneous velocity is the velocity at a specific moment, defined through the time-derivative form of position.\"},{\"question\":\"How do Newton’s laws relate to forces and motion?\",\"answer\":\"Newton’s 1st law states that without net external force, velocity remains constant. Newton’s 2nd law links net force to acceleration (net force equals mass times acceleration). Newton’s 3rd law states forces between two interacting objects are equal in magnitude and opposite in direction.\"},{\"question\":\"What equations connect work, kinetic energy, and power?\",\"answer\":\"The work–kinetic energy theorem connects net work to the change in kinetic energy. Power relates work and/or energy transfer rate to time, using the standard power relation shown on the sheet.\"}]","PHYS1205 - Integrated Physics - Cheatsheet | PDF",1789904629]