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Rendimento mecânico, é a taxa que mostra o quanto da potência desenvolvida pelos gases expandidos no cilindro são realmente entregues na saída do eixo.

","status","pending_classification","hasRelatedVideo","relatedVideos",[97],{"_98":99,"_117":118,"_52":133,"_152":153,"_170":134},"content",{"_44":100,"_58":101,"_102":-5,"_103":104,"_105":106,"_107":-5,"_46":108,"_111":112,"_113":112,"_114":-5,"_115":116},"162087be-594f-460e-bbdd-a339ac2f10ad","Calor Latente - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","f2b62fc2-7079-40e7-a5b5-c4a9769b205d","user_id",{"_109":110},"external_id","3659","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","calor-latente-parte-1","prometheusData",{"_119":120,"_126":127,"_128":129,"_130":131,"_28":132},"provider",{"_44":121,"_122":123,"_124":125},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","bf8aacba-3de9-4b10-961c-47ada80dfe8c","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/levels.m3u8",[134],{"_44":135,"_58":136,"_60":137,"_138":139,"_140":141,"_111":142,"_113":142,"_46":143,"_115":137,"_150":151},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9","2025-04-29T03:44:27.560682+00:00",{"_144":145,"_146":147,"_148":149},"childrenCount",10,"content_count",0,"question_count",8575,"children",[],"video",{"_44":106,"_13":101,"_102":-5,"_154":155,"_156":157,"_28":-5,"_158":-5,"_119":157,"_159":160,"_130":-5,"_161":-5,"_162":-5,"_163":-5,"_164":-5,"_46":165,"_166":147,"_167":-5,"_92":168,"_111":169,"_113":169},"duration",17,"source_type","prometheus","iframe_url","provider_video_id","748a4adb-ad8f-4c5f-88a9-bc522d3b4246","format","quality","file_path","file_size",{"_109":110},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag","similarQuestions",[173,206,224],{"_40":174,"_42":43,"_44":175,"_78":176,"_89":194,"_90":195,"_52":196},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[177,180,183,187,191],{"_44":178,"_81":82,"_83":179},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":181,"_81":87,"_83":182},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":184,"_81":185,"_83":186},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_44":188,"_81":189,"_83":190},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_44":174,"_81":192,"_83":193},"E","y'' - 2y' + 6y = 0","Somente em y''−2y'+6y=0 o polinômio característico r²−2r+6=0 tem Δ<0, gerando raízes complexas conjugadas (1±i√5) e, portanto, solução em termos de exponencial modulando seno e cosseno. Nos demais itens (a–d) o discriminante é ≥0, produzindo raízes reais (distintas ou repetidas).","

Resolva as seguintes EDOs determinando a solução geral e, quando houver condições iniciais do PVI, a solução particular.

(a) y'' + 2y' - 3y = 0

(b) 6y'' - y' - y = 0

(d) 9y'' + 6y' + y = 0

(e) y'' - 2y' + 6y = 0

(f) 4y'' + 9y = 0

(g) 6y'' - 5y' + y = 0; \\, y(0) = 4; \\, y'(0) = 0

(h) y'' + 4y' + 4y = 0; \\, y(-1) = 2; \\, y'(-1) = 1

(i) y'' + y = 0; \\, y\bigg(\\frac{\\pi}{3}\\bigg) = 2; \\, y'\\bigg(\\frac{\\pi}{3}\\bigg) = -4

(j) y'' - 2y' - 3y = 3e^{2t}

(k) y'' + 9y = t^2 e^{3t} + 6

(l) 2y'' + 3y' + y = t^2 + 3 \\sin(t)

(m) y'' + y' - 2y = 2t; \\, y(0) = 0; \\, y'(0) = 1

(n) y'' - 2y' + y = te^t + 4; \\, y(0) = 1; \\, y'(0) = 1

(o) y'' + 4y = 3 \\sin(2t); \\, y(0) = 2; \\, y'(0) = -1

",[197],{"_44":198,"_58":199,"_60":200,"_138":139,"_140":201,"_111":202,"_113":202,"_46":203,"_115":200},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_144":204,"_146":147,"_148":205},4,12302,{"_40":207,"_42":43,"_44":208,"_78":209,"_89":221,"_90":222,"_52":223},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[210,213,216,218],{"_44":211,"_81":82,"_83":212},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":214,"_81":87,"_83":215},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":207,"_81":185,"_83":217},"

Verdadeiro, falso, verdadeiro

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Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[197],[197,246,253,263,270,277,278,286,292,297,303,310],{"_44":247,"_58":59,"_60":61,"_138":139,"_140":248,"_111":142,"_113":142,"_46":249,"_115":252},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_144":250,"_146":147,"_148":251},2,11846,"termodinamica-3",{"_44":254,"_58":255,"_60":256,"_138":139,"_140":257,"_111":258,"_113":258,"_46":259,"_115":262},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_144":260,"_146":147,"_148":261},5,30614,"engenharia-mecatronica-1",{"_44":264,"_58":265,"_60":266,"_138":139,"_140":254,"_111":202,"_113":202,"_46":267,"_115":269},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_144":260,"_146":147,"_148":268},25741,"mecanica-3",{"_44":248,"_58":271,"_60":272,"_138":139,"_140":257,"_111":258,"_113":258,"_46":273,"_115":276},"Engenharia Mecânica","engenharia-mecanica",{"_144":274,"_146":147,"_148":275},11,36318,"engenharia-mecanica-2",{"_44":135,"_58":136,"_60":137,"_138":139,"_140":141,"_111":142,"_113":142,"_46":143,"_115":137},{"_44":279,"_58":280,"_60":281,"_138":139,"_140":-5,"_111":282,"_113":282,"_46":283,"_115":281},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_144":284,"_146":147,"_148":285},18,135489,{"_44":287,"_58":59,"_60":61,"_138":139,"_140":198,"_111":288,"_113":288,"_46":289,"_115":291},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_144":147,"_146":147,"_148":290},8597,"termodinamica-5",{"_44":201,"_58":293,"_60":294,"_138":139,"_140":257,"_111":258,"_113":258,"_46":295,"_115":296},"Engenharia de Petróleo","engenharia-de-petroleo",{"_144":260,"_146":147,"_148":205},"engenharia-de-petroleo-1",{"_44":141,"_58":298,"_60":299,"_138":139,"_140":279,"_111":258,"_113":258,"_46":300,"_115":302},"Física","fisica",{"_144":274,"_146":147,"_148":301},13777,"fisica-4",{"_44":257,"_58":304,"_60":305,"_138":139,"_140":-5,"_111":306,"_113":306,"_46":307,"_115":305},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_144":308,"_146":147,"_148":309},29,351586,{"_44":311,"_58":59,"_60":61,"_138":139,"_140":264,"_111":312,"_113":312,"_46":313,"_115":314},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_144":147,"_146":147,"_148":290},"termodinamica-4","tagsTree",[317,321],{"_44":279,"_58":280,"_60":281,"_138":139,"_140":-5,"_111":282,"_113":282,"_46":283,"_115":281,"_150":318},[319],{"_44":141,"_58":298,"_60":299,"_138":139,"_140":279,"_111":258,"_113":258,"_46":300,"_115":302,"_150":320},[134],{"_44":257,"_58":304,"_60":305,"_138":139,"_140":-5,"_111":306,"_113":306,"_46":307,"_115":305,"_150":322},[323,329,333],{"_44":254,"_58":255,"_60":256,"_138":139,"_140":257,"_111":258,"_113":258,"_46":259,"_115":262,"_150":324},[325],{"_44":264,"_58":265,"_60":266,"_138":139,"_140":254,"_111":202,"_113":202,"_46":267,"_115":269,"_150":326},[327],{"_44":311,"_58":59,"_60":61,"_138":139,"_140":264,"_111":312,"_113":312,"_46":313,"_115":314,"_150":328},[],{"_44":248,"_58":271,"_60":272,"_138":139,"_140":257,"_111":258,"_113":258,"_46":273,"_115":276,"_150":330},[331],{"_44":247,"_58":59,"_60":61,"_138":139,"_140":248,"_111":142,"_113":142,"_46":249,"_115":252,"_150":332},[],{"_44":201,"_58":293,"_60":294,"_138":139,"_140":257,"_111":258,"_113":258,"_46":295,"_115":296,"_150":334},[335],{"_44":198,"_58":199,"_60":200,"_138":139,"_140":201,"_111":202,"_113":202,"_46":203,"_115":200,"_150":336},[337],{"_44":287,"_58":59,"_60":61,"_138":139,"_140":198,"_111":288,"_113":288,"_46":289,"_115":291,"_150":338},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários