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A energia mecânica vem da queima de carvão, gás e combustível nuclear, turbinas a gás ou, ocasionalmente, do motor de combustão interna.

","status","pending_classification","hasRelatedVideo","relatedVideos",[76],{"_77":78,"_96":97,"_29":112,"_131":132,"_150":151},"content",{"_21":79,"_35":80,"_81":-5,"_82":83,"_84":85,"_86":-5,"_23":87,"_90":91,"_92":91,"_93":-5,"_94":95},"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",{"_88":89},"external_id","3659","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","calor-latente-parte-1","prometheusData",{"_98":99,"_105":106,"_107":108,"_109":110,"_6":111},"provider",{"_21":100,"_101":102,"_103":104},"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",[113],{"_21":114,"_35":115,"_37":116,"_117":118,"_119":120,"_90":121,"_92":121,"_23":122,"_94":116,"_129":130},"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",{"_123":124,"_125":126,"_127":128},"childrenCount",10,"content_count",0,"question_count",8575,"children",[],"video",{"_21":85,"_133":80,"_81":-5,"_134":135,"_136":137,"_6":-5,"_138":-5,"_98":137,"_139":140,"_109":-5,"_141":-5,"_142":-5,"_143":-5,"_144":-5,"_23":145,"_146":126,"_147":-5,"_71":148,"_90":149,"_92":149},"title","duration",17,"source_type","prometheus","iframe_url","provider_video_id","748a4adb-ad8f-4c5f-88a9-bc522d3b4246","format","quality","file_path","file_size",{"_88":89},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag",{"_21":114,"_35":115,"_37":116,"_117":118,"_119":120,"_90":121,"_92":121,"_23":152,"_94":116,"_129":153},{"_123":124,"_125":126,"_127":128},[],"similarQuestions",[156,189,209],{"_18":157,"_20":19,"_21":158,"_56":159,"_68":177,"_69":178,"_29":179},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[160,163,166,170,174],{"_21":161,"_60":61,"_62":162},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_21":164,"_60":66,"_62":165},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_21":167,"_60":168,"_62":169},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_21":171,"_60":172,"_62":173},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_21":157,"_60":175,"_62":176},"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

",[180],{"_21":181,"_35":182,"_37":183,"_117":118,"_119":184,"_90":185,"_92":185,"_23":186,"_94":183},"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",{"_123":187,"_125":126,"_127":188},4,12302,{"_18":190,"_20":19,"_21":191,"_56":192,"_68":204,"_69":205,"_29":206},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[193,196,199,201],{"_21":194,"_60":61,"_62":195},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_21":197,"_60":66,"_62":198},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_21":190,"_60":168,"_62":200},"

Verdadeiro, falso, verdadeiro

",{"_21":202,"_60":172,"_62":203},"3c98539b-1af9-4d44-aecd-c266754a2075","

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????",[230],{"_21":181,"_35":182,"_37":183,"_117":118,"_119":184,"_90":185,"_92":185,"_23":231,"_94":183},{"_123":187,"_125":126,"_127":188},[233,235,241,251,258,265,267,275,281,286,292,299],{"_21":181,"_35":182,"_37":183,"_117":118,"_119":184,"_90":185,"_92":185,"_23":234,"_94":183},{"_123":187,"_125":126,"_127":188},{"_21":236,"_35":36,"_37":38,"_117":118,"_119":237,"_90":121,"_92":121,"_23":238,"_94":240},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_123":42,"_125":126,"_127":239},11846,"termodinamica-3",{"_21":242,"_35":243,"_37":244,"_117":118,"_119":245,"_90":246,"_92":246,"_23":247,"_94":250},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_123":248,"_125":126,"_127":249},5,30614,"engenharia-mecatronica-1",{"_21":252,"_35":253,"_37":254,"_117":118,"_119":242,"_90":185,"_92":185,"_23":255,"_94":257},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_123":248,"_125":126,"_127":256},25741,"mecanica-3",{"_21":237,"_35":259,"_37":260,"_117":118,"_119":245,"_90":246,"_92":246,"_23":261,"_94":264},"Engenharia Mecânica","engenharia-mecanica",{"_123":262,"_125":126,"_127":263},11,36318,"engenharia-mecanica-2",{"_21":114,"_35":115,"_37":116,"_117":118,"_119":120,"_90":121,"_92":121,"_23":266,"_94":116},{"_123":124,"_125":126,"_127":128},{"_21":268,"_35":269,"_37":270,"_117":118,"_119":-5,"_90":271,"_92":271,"_23":272,"_94":270},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_123":273,"_125":126,"_127":274},18,135489,{"_21":276,"_35":36,"_37":38,"_117":118,"_119":181,"_90":277,"_92":277,"_23":278,"_94":280},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_123":126,"_125":126,"_127":279},8597,"termodinamica-5",{"_21":184,"_35":282,"_37":283,"_117":118,"_119":245,"_90":246,"_92":246,"_23":284,"_94":285},"Engenharia de Petróleo","engenharia-de-petroleo",{"_123":248,"_125":126,"_127":188},"engenharia-de-petroleo-1",{"_21":120,"_35":287,"_37":288,"_117":118,"_119":268,"_90":246,"_92":246,"_23":289,"_94":291},"Física","fisica",{"_123":262,"_125":126,"_127":290},13777,"fisica-4",{"_21":245,"_35":293,"_37":294,"_117":118,"_119":-5,"_90":295,"_92":295,"_23":296,"_94":294},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_123":297,"_125":126,"_127":298},29,351586,{"_21":300,"_35":36,"_37":38,"_117":118,"_119":252,"_90":301,"_92":301,"_23":302,"_94":303},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_123":126,"_125":126,"_127":279},"termodinamica-4","tagsTree",[306,315],{"_21":268,"_35":269,"_37":270,"_117":118,"_119":-5,"_90":271,"_92":271,"_23":307,"_94":270,"_129":308},{"_123":273,"_125":126,"_127":274},[309],{"_21":120,"_35":287,"_37":288,"_117":118,"_119":268,"_90":246,"_92":246,"_23":310,"_94":291,"_129":311},{"_123":262,"_125":126,"_127":290},[312],{"_21":114,"_35":115,"_37":116,"_117":118,"_119":120,"_90":121,"_92":121,"_23":313,"_94":116,"_129":314},{"_123":124,"_125":126,"_127":128},[],{"_21":245,"_35":293,"_37":294,"_117":118,"_119":-5,"_90":295,"_92":295,"_23":316,"_94":294,"_129":317},{"_123":297,"_125":126,"_127":298},[318,327,333],{"_21":242,"_35":243,"_37":244,"_117":118,"_119":245,"_90":246,"_92":246,"_23":319,"_94":250,"_129":320},{"_123":248,"_125":126,"_127":249},[321],{"_21":252,"_35":253,"_37":254,"_117":118,"_119":242,"_90":185,"_92":185,"_23":322,"_94":257,"_129":323},{"_123":248,"_125":126,"_127":256},[324],{"_21":300,"_35":36,"_37":38,"_117":118,"_119":252,"_90":301,"_92":301,"_23":325,"_94":303,"_129":326},{"_123":126,"_125":126,"_127":279},[],{"_21":237,"_35":259,"_37":260,"_117":118,"_119":245,"_90":246,"_92":246,"_23":328,"_94":264,"_129":329},{"_123":262,"_125":126,"_127":263},[330],{"_21":236,"_35":36,"_37":38,"_117":118,"_119":237,"_90":121,"_92":121,"_23":331,"_94":240,"_129":332},{"_123":42,"_125":126,"_127":239},[],{"_21":184,"_35":282,"_37":283,"_117":118,"_119":245,"_90":246,"_92":246,"_23":334,"_94":285,"_129":335},{"_123":248,"_125":126,"_127":188},[336],{"_21":181,"_35":182,"_37":183,"_117":118,"_119":184,"_90":185,"_92":185,"_23":337,"_94":183,"_129":338},{"_123":187,"_125":126,"_127":188},[339],{"_21":276,"_35":36,"_37":38,"_117":118,"_119":181,"_90":277,"_92":277,"_23":340,"_94":280,"_129":341},{"_123":126,"_125":126,"_127":279},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários