[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-312018-105":59,"doc-detail-312018-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","ap-physics-c-mechanics-2025-scoring-guidelines","AP® Physics C: Mechanics 2025 Scoring Guidelines","","AP® Physics C: Mechanics 2025 Scoring Guidelines provide point-by-point expectations for common solution components across several problem types. The guidelines specify what earns credit for momentum and impulse work, including arrow conventions, multistep derivations using impulse or Newton’s second law, substituting the given force function, and evaluating integrals with correct limits. They also outline requirements for energy and translation between representations, including conservation laws and harmonic motion elements, and include experimental design criteria focused on measurement and uncertainty reduction.",{"@graph":69,"@context":122},[70,84,105],{"@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/ap-physics-c-mechanics-2025-scoring-guidelines/312018/",{"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/ap-physics-c-mechanics-2025-scoring-guidelines/312018.png","ImageObject",300,407,{"name":92,"@type":93},"Berry Peter","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What earns points in Question 1(A) for impulse or Newton’s second law derivations?","Question",{"text":112,"@type":113},"Credit is awarded for including an integral form of impulse or the differential form of Newton’s second law, substituting the given expression for F(t), using correct integral limits or a constant of integration, and producing a correct expression for Fmax in terms of given quantities.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does Question 1(B) score momentum-related reasoning?",{"text":117,"@type":113},"Points are earned for a multistep derivation that includes conservation of momentum, for indicating the magnitude of the final momentum of the two-block system as 7mv0, and for forming a correct expression for v1 in terms of v0.",{"name":119,"@type":110,"acceptedAnswer":120},"What procedures and considerations are expected in Question 3(LAB)?",{"text":121,"@type":113},"The scoring emphasizes describing a procedure that measures h and the block’s speed as it moves across the surface, and using a reasonable method to reduce experimental uncertainty, such as repeating the experiment multiple times for the same h or using multiple values of h.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},312018,1790274597,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":145,"preview_page_count":4},1374402524268,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","2025   \nAP® Physics C:  \nMechanics Scoring Guidelines  \n© 2025 College Board. College Board, Advanced Placement, AP, AP Central, and the acorn logo are registered trademarks of College Board. Visit College Board on the web: [collegeboard.org](collegeboard.org).  \n[AP Central is the official online home for the AP Program: apcentral.collegeboard.org](AP Central is the official online home for the AP Program: apcentral.collegeboard.org).  \nAP® Physics C: Mechanics 2025 Scoring Guidelines  \nQuestion 1: Mathematical Routines (MR) 10 points  \nA (i) For drawing only one arrow for the momentum of Block 2 before the collision that points leftward and is 6 units long  \nPoint A1  \n\n| For drawing only identical arrows for the momentum of the two-block system before and after the collision that are equal to the sum of the momentums drawn for blocks 1 and 2 before the collision | Point A2 |\n| --- | --- |\n| Example Response\u003Cbr>|  |\n| (ii) For a multistep derivation that includes the integral form of impulse or the differential form of Newton’s second law | Point A3 |\n| For indicating one of the following:\u003Cbr>• The final speed of Block 1 or Block 2 is 47~~ ~~ v0 .\u003Cbr>• The change in the momentum of Block 2 is + ~~ ~~187 mv0 .\u003Cbr>• The change in the momentum of Block 1 is − ~~ ~~187 mv0 .\u003Cbr>• The change in the velocity of Block 2 is + ~~ ~~37~~ ~~ v0 .\u003Cbr>• The change in the velocity of Block 1 is − ~~ ~~187~~ ~~ v0 . | Point A4 |\n| For substituting the given expression for F (t) into an expression for the impulse exerted on either block or the differential form of Newton’s second law | Point A5 |\n| For an integral with appropriate limits or a constant of integration | Point A6 |\n| For a correct expression for Fmax in terms of given quantities | Point A7 |\n\n© 2025 College Board  \nAP® Physics C: Mechanics 2025 Scoring Guidelines  \n\n| Example Responses\u003Cbr>→J = ∫ t 2→t1 Fnet (t) dt = ∆→p OR |  | →F = d→p net dt\u003Cbr>∫ →Fnet dt = ∆→p |  |\n| --- | --- | --- | --- |\n| ∑ →p0 = ∑ →pf\u003Cbr>(m)(2v0 ) + (6m)(−v0 ) = (m + 6m)(vf ) vf = − ~~ ~~47~~ ~~ v0\u003Cbr>∆pBlock 2 = −∆pBlock 1 = 6m( − ~~ ~~47~~ ~~ v0 − (−v0 ) )\u003Cbr>∆pBlock 2 = ∫ t c0Fmax sin( At) dt\u003Cbr>187 mv0 = FmAax~~ ~~ [− cos( At )]tc\u003Cbr>0\u003Cbr>187 mv0 = FmAax~~ ~~ [1 − cos( Atc )] Fmax = 187~~ ~~ 􀂧􀂨􀂩 ~~ ~~1~~ ~~−~~ ~~Amcosv~~(~~0Atc~~ ) ~~ 􀂷􀂹􀂸 |  |  |  |\n| B | For a multistep derivation that includes conservation of momentum |  | Point B1 |\n|  | For indicating that the magnitude of the final momentum of the two-block system is 7mv0 |  | Point B2 |\n|  | For a correct expression for v1 in terms of v0 |  | Point B3 |\n\nExample Response ∑ →p0 = ∑ →pf  \nmv1 + 6m(−v0 ) = 7m( v0 ) mv1 = 13mv0  \nv1 = 13v0  \n© 2025 College Board  \nAP® Physics C: Mechanics 2025 Scoring Guidelines  \nQuestion 2: Translation Between Representations (TBR) 12 points  \nA  \nFor indicating that Kblock  \nis zero  \nPoint A1  \n\n| For drawing bars with positive heights for UA and UB | Point A2 |\n| --- | --- |\n| For drawing a bar for UB with a height that is twice the height of the bar drawn for UA Scoring Note: This point may be earned regardless of the signs of either bar. | Point A3 |\n\nExample Response  \nB For a multistep derivation that includes energy conservation or simple harmonic motion Point B1  \n\n| For relating the presence of both springs to the behavior of the system | Point B2 |\n| --- | --- |\n| For relating positions x = x1 and x = 12~~ ~~ x1 to the oscillation of the block | Point B3 |\n| For a correct expression for v in terms of given quantities | Point B4 |\n\n© 2025 College Board  \nAP® Physics C: Mechanics 2025 Scoring Guidelines  \nExample Responses  \nEtot,0 = UA (x1 ) + UB (x1 ) + Kblock (x1 )  \nEtot = UA ( ~~ ~~12~~ ~~ x1 ) + UB ( ~~ ~~12~~ ~~ x1 ) + Kblock ( ~~ ~~12~~ ~~ x1 )  \nEtot,0 = 12~~ ~~ ( k )( x1 )2 + ~~ ~~12~~ ~~ ( 2k)( x1 )2 + 0 Etot = 12~~ ~~ ( k ) ( ~~ ~~12~~ ~~ x1 )2 + ~~ ~~12~~ ~~ ( 2k) ( ~~ ~~12~~ ~~ x1 )2 + Kblock,  \nE = Etot,0 tot, f  \n1 2 2 1 2 1 2  \n~~ ~~ kx + kx = ~~ ~~ kx + ~~ ~~ kx + K  \n2 1 1 8 1 4 1 bl","cbCaioxOTNobxMTW","https://ap.wps.com/l/cbCaioxOTNobxMTW","pdf",456406,11,"English","# Question 1: Mathematical Routines (MR)\n## A (Momentum/Impulse and related derivation features)\n## B (Conservation of momentum)\n# Question 2: Translation Between Representations (TBR)\n## A (Kinetic energy and bar-graph representation)\n## B (Energy conservation or SHM derivation features)\n## C (Graph sketching with periodicity)\n## D (Justification for period/amplitude/decay features)\n# Question 3: Experimental Design and Analysis (LAB)\n## A (Procedure measuring height and speed)\n## B (Reducing experimental uncertainty)","[{\"question\":\"What earns points in Question 1(A) for impulse or Newton’s second law derivations?\",\"answer\":\"Credit is awarded for including an integral form of impulse or the differential form of Newton’s second law, substituting the given expression for F(t), using correct integral limits or a constant of integration, and producing a correct expression for Fmax in terms of given quantities.\"},{\"question\":\"How does Question 1(B) score momentum-related reasoning?\",\"answer\":\"Points are earned for a multistep derivation that includes conservation of momentum, for indicating the magnitude of the final momentum of the two-block system as 7mv0, and for forming a correct expression for v1 in terms of v0.\"},{\"question\":\"What procedures and considerations are expected in Question 3(LAB)?\",\"answer\":\"The scoring emphasizes describing a procedure that measures h and the block’s speed as it moves across the surface, and using a reasonable method to reduce experimental uncertainty, such as repeating the experiment multiple times for the same h or using multiple values of h.\"}]","AP® Physics C: Mechanics 2025 Scoring Guidelines | PDF",1789895107,28]