[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-572826-105":53,"doc-detail-572826-en":126},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":119,"head_meta":121,"extra_data":123,"updated_unix":125},105,"en","2024-physics-1-derived-equations-formula-sheet","2024 Physics 1 Derived Equations - Formula Sheet","","A concise formula sheet compiling derived equations for Physics 1, organized by topic. It covers rotational motion (rotational inertia), projectile kinematics (time of flight, range, maximum height), basic dynamics (components of acceleration, normal force, friction), and multi-body systems such as massless and massive pulleys. Additional sections address circular motion (velocity and apparent weight), momentum and impulse, energy and power, escape velocity, and simple harmonic motion for pendulums.",{"@graph":63,"@context":118},[64,80,101],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/2024-physics-1-derived-equations-formula-sheet/572826/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/2024-physics-1-derived-equations-formula-sheet/572826.png","ImageObject",442,249,{"name":88,"@type":89},"asba","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-15","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":9},"InteractionCounter",{"@type":100},"ViewAction",{"@type":102,"mainEntity":103},"FAQPage",[104,110,114],{"name":105,"@type":106,"acceptedAnswer":107},"What rotational motion formula is included for different objects?","Question",{"text":108,"@type":109},"The sheet provides rotational inertia I = xmr^2 with specific coefficients for point mass/wheel/thin ring, sphere, disk/cylinder, rod from center, and rod from end.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"Which projectile kinematics results are listed and what assumptions do they use?",{"text":113,"@type":109},"It includes equations for time to hit the ground with 0 vertical velocity, time in air with 0 vertical displacement, range with 0 vertical displacement, and maximum height of a projectile.",{"name":115,"@type":106,"acceptedAnswer":116},"How does the sheet handle forces and accelerations on inclines or pulleys?",{"text":117,"@type":109},"It lists a = g sin(θ), normal force N = mg and on inclines N = mg cos(θ), friction f = μmg cos(θ), and acceleration expressions for massless and massive pulleys with m1 > m2.","https://schema.org",{"og:url":78,"og:type":120,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":122,"canonical":78},"index,follow",{"doc_id":124,"site_id":56},572826,1792053443,{"code":4,"msg":5,"data":127},{"doc_id":124,"user_id":128,"nickname":88,"user_avatar":129,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":9,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":76,"language":135,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":136,"faqs":137,"seo_title":138,"seo_description":61,"update_tm":139,"read_time":9},3985747872567,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Visit [https://rb.gy/mugq69](https://rb.gy/mugq69 for a video)[ for a video](https://rb.gy/mugq69 for a video)[ ](https://rb.gy/mugq69 for a video)[explanation of these formulas.](explanation of these formulas.)  \n[nerd-notes.com](nerd-notes.com)  \n2024 Physics 1 Derived Equations (25) Formula Sheet  \n\n| Equations |  | Notes |\n| --- | --- | --- |\n| Rotational Motion |  |  |\n| I = xmr2 |  | Rotational Inertia where x is the coefficient. For a point mass/wheel/thin ring ( x = 1 ), sphere ( x = 25 ), disk/cylinder ( x = 12 ), rod from center ( x = ~~ ~~13 ), and rod from end ( x = ~~ ~~112 ) |\n|  |  |  |\n| Kinematics |  |  |\n| t = | | Time taken for a projectile to hit the ground assuming 0 vertical velocity |\n| 2vosin(θ )\u003Cbr>t = ~~ ~~\u003Cbr>g |  | Time in air assuming 0 vertical displacement |\n| R = v0x t = 2v02~~ ~~cosg(θ~~ ~~)sin(θ~~ ~~) |  | Range of a projectile assuming 0 vertical displacement. |\n| (v0 sin(θ ))2 H = ~~ ~~\u003Cbr>2g |  | Maximum height of a projectile |\n|  |  |  |\n| Dynamics |  |  |\n| a = gsin(θ ) |  | Acceleration on a frictionless incline |\n| N = mg |  | Normal force on a flat non-accelerating object |\n\n[nerd-notes. com](nerd-notes. com) nerd-notes.com nerd-notes.com nerd-notes.com  \nVisit [https://rb.gy/mugq69](https://rb.gy/mugq69 for a video)[ for a video](https://rb.gy/mugq69 for a video)[ ](https://rb.gy/mugq69 for a video)[explanation of these formulas.](explanation of these formulas.)  \n[nerd-notes.com](nerd-notes.com)  \n| Equations |  | Notes |\n| --- | --- | --- |\n| N = ma ± mg |  | Normal force (aka apparent weight) acting on a object |\n| N = mgcos(θ ) |  | Normal force on an incline |\n| f = μmgcos(θ ) |  | Friction force on an incline |\n| a =\u003Cbr>m1g − m2g\u003Cbr>m1 + m2 |  | Acceleration of a massless pulley. Net force divided by total mass. m1 > m 2 |\n| a = | m1g − m2g\u003Cbr>m1 + m2 + xmp | Acceleration of a pulley with mass where m1 > m 2 and x is the coefficient of moment of inertia |\n|  |  |  |\n| Dynamics (Circular Motion) |  |  |\n| v = gr |  | Minimum velocity for object to move in a vertical\u003Cbr>circle |\n| v = μgr\u003Cbr>|  | Maximum velocity of an object moving in a\u003Cbr>horizontal circle due to friction |\n| N = mac ± mg |  | Apparent weight of object moving in a vertical circle: at top (use −), at bottom (use +) |\n| v = | | Orbital velocity of any object around a planet ( p), where d is distance from masses’ centers |\n| T = 2π\u003Cbr>|  | Orbital period of any object around a planet ( p), where d is distance from masses’ centers |\n|  |  |  |\n\n[nerd-notes. com](nerd-notes. com) nerd-notes.com nerd-notes.com nerd-notes.com  \nVisit [https://rb.gy/mugq69](https://rb.gy/mugq69 for a video)[ for a video](https://rb.gy/mugq69 for a video)[ ](https://rb.gy/mugq69 for a video)[explanation of these formulas.](explanation of these formulas.)  \n[nerd-notes.com](nerd-notes.com)  \n| Equations | Notes |\n| --- | --- |\n| Momentum |  |\n| L = mr v | Angular momentum using linear speed |\n| I = 2mv | Impulse of an object that rebounds at an identical speed. |\n|  |  |\n| Energy |  |\n| P = Fv | Power given net force and velocity. |\n| vf = 2gh\u003Cbr>| Velocity after sliding or being dropped from rest |\n| vf =\u003Cbr>| Final linear velocity of object rolling down a ramp, where x is the coefficient of rotational inertia. |\n| v = esc\u003Cbr>| Escape velocity of an object, from a planet ( p) |\n|  |  |\n| Simple Harmonic Motion |  |\n| PE = KE = mg(L − L cos(θ )) | Total mechanical energy of a pendulum given just the length and angle of the string. |\n| vmax = 2g (L − L cos(θ ))\u003Cbr>| Maximum velocity of a pendulum given just the length and angle of the string. |\n\n[nerd-notes. com](nerd-notes. com) nerd-notes.com nerd-notes.com nerd-notes.com","cbCaiuyu7wbcBGDa","https://ap.wps.com/l/cbCaiuyu7wbcBGDa","pdf",157116,"English","# Rotational Motion\n# Kinematics\n# Dynamics\n## Dynamics (Circular Motion)\n# Momentum\n# Energy\n# Simple Harmonic Motion","[{\"question\":\"What rotational motion formula is included for different objects?\",\"answer\":\"The sheet provides rotational inertia I = xmr^2 with specific coefficients for point mass/wheel/thin ring, sphere, disk/cylinder, rod from center, and rod from end.\"},{\"question\":\"Which projectile kinematics results are listed and what assumptions do they use?\",\"answer\":\"It includes equations for time to hit the ground with 0 vertical velocity, time in air with 0 vertical displacement, range with 0 vertical displacement, and maximum height of a projectile.\"},{\"question\":\"How does the sheet handle forces and accelerations on inclines or pulleys?\",\"answer\":\"It lists a = g sin(θ), normal force N = mg and on inclines N = mg cos(θ), friction f = μmg cos(θ), and acceleration expressions for massless and massive pulleys with m1 \\u003e m2.\"}]","2024 Physics 1 Derived Equations - Formula Sheet | PDF",1791929425]