{"id":3669,"date":"2018-02-13T14:03:45","date_gmt":"2018-02-13T14:03:45","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=3669"},"modified":"2024-06-26T15:17:19","modified_gmt":"2024-06-26T15:17:19","slug":"gravitacao-universal-leis-de-kepler","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/enem\/gravitacao-universal-leis-de-kepler\/","title":{"rendered":"Gravita\u00e7\u00e3o Universal – Leis de Kepler"},"content":{"rendered":"

Gravita\u00e7\u00e3o Universal<\/b><\/span><\/span><\/span><\/p>\n

Leis de Kepler<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

01-(ENEM-MEC)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

As leis de Kepler definem o movimento da Terra em torno do Sol. Qual \u00e9, aproximadamente, o <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0tempo gasto, em meses, pela Terra para percorrer uma \u00e1rea igual a um quarto da \u00e1rea total da elipse?<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span><\/p>\n

02-(ENEM-MEC)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0tabela\u00a0abaixo\u00a0resume\u00a0alguns\u00a0dados\u00a0importantes\u00a0sobre os\u00a0sat\u00e9lites\u00a0de\u00a0J\u00fapiter.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Ao observar os\u00a0sat\u00e9lites\u00a0de\u00a0J\u00fapiter\u00a0pela primeira vez, Galileu Galilei fez diversas anota\u00e7\u00f5es e tirou importantes\u00a0conclus\u00f5es sobre a estrutura de nosso universo. A figura\u00a0abaixo\u00a0reproduz uma anota\u00e7\u00e3o de Galileu referente a\u00a0J\u00fapiter\u00a0e seus\u00a0sat\u00e9lites.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

De acordo com essa representa\u00e7\u00e3o e com os\u00a0dados\u00a0da\u00a0tabela, os pontos indicados por 1, 2, 3 e 4 correspondem, respectivamente, a:\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

a)\u00a0Io, Europa, Ganimedes e Calisto.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b)\u00a0Ganimedes, Io, Europa e Calisto.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

c)\u00a0Europa, Calisto, Ganimedes e Io.<\/b><\/span><\/span><\/span><\/p>\n

d)\u00a0Calisto, Ganimedes, Io e Europa.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

e)\u00a0Calisto, Io, Europa e Ganimedes.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Exerc\u00edcios com caracter\u00edstica de ENEM<\/b><\/span><\/span><\/span><\/p>\n

03-(UNESP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A Terra descreve uma elipse em torno do Sol cuja \u00e1rea \u00e9 A=6,98.10<\/b><\/span><\/span><\/span>22<\/b><\/span><\/span><\/sup><\/span>\u00a0m<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A \u00e1rea varrida pelo raio que liga a Terra ao Sol desde zero hora do dia 1<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>\u00a0de Abril at\u00e9 as 24horas do dia 30 de Maio do mesmo ano, \u00e9, aproximadamente, de:<\/b><\/span><\/span><\/span><\/p>\n

a) 1,2.10<\/b><\/span><\/span><\/span>22<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

b) \u00a09,2.10<\/b><\/span><\/span><\/span>22<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

c) \u00a09,3.10<\/b><\/span><\/span><\/span>20<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

d)\u00a0 8,0.10<\/b><\/span><\/span><\/span>21<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

e) 1,2.10<\/b><\/span><\/span><\/span>22<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

04-(UNESP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A \u00f3rbita de um planeta \u00e9 el\u00edptica e o Sol ocupa um de seus focos, como ilustrado na figura (fora de escala). As regi\u00f5es limitadas pelos contornos OPS e MNS t\u00eam \u00e1reas iguais a A.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Se t<\/b><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/sub><\/span>\u00a0e t<\/b><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/sub><\/span>\u00a0s\u00e3o os intervalos de tempo gastos para o planeta percorrer os trechos OP e MN, respectivamente, com velocidades m\u00e9dias V<\/b><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/sub><\/span>\u00a0e V<\/b><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/sub><\/span>,\u00a0pode-se afirmar que<\/b><\/span><\/span><\/span><\/p>\n

a) t<\/b><\/span><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0> t<\/b><\/span><\/span><\/span><\/span>MN\u00a0\u00a0<\/b><\/span><\/span><\/span><\/sub><\/span>e V<\/b><\/span><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0< V<\/b><\/span><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

b) t<\/b><\/span><\/span><\/span><\/span>OP\u00a0<\/b><\/span><\/span><\/span><\/sub><\/span>=\u00a0t<\/b><\/span><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0 e\u00a0 V<\/b><\/span><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0> V<\/b><\/span><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) t<\/b><\/span><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0=\u00a0 t<\/b><\/span><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0 e\u00a0\u00a0 V<\/b><\/span><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/span><\/sub><\/span>< V<\/b><\/span><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/b><\/span><\/span><\/span><\/span><\/p>\n

d) t<\/b><\/span><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0> t<\/b><\/span><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0 e\u00a0 V<\/b><\/span><\/span><\/span><\/span>OP<\/b><\/span><\/span><\/span><\/sub><\/span>\u00a0> V<\/b><\/span><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/span><\/sub><\/span><\/p>\n

e) t<\/b><\/span><\/span><\/span>OP\u00a0<\/b><\/span><\/span><\/sub><\/span><\u00a0t<\/b><\/span><\/span><\/span>MN\u00a0\u00a0<\/b><\/span><\/span><\/sub><\/span>e V<\/b><\/span><\/span><\/span>OP\u00a0<\/b><\/span><\/span><\/sub><\/span>< V<\/b><\/span><\/span><\/span>MN<\/b><\/span><\/span><\/sub><\/span><\/p>\n

\u00a0<\/span><\/p>\n

05-(UFG-GO)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere que a Esta\u00e7\u00e3o Espacial Internacional, de massa\u00a0M, descreve uma \u00f3rbita el\u00edptica est\u00e1vel em torno da\u00a0Terra, com um per\u00edodo de revolu\u00e7\u00e3o T e raio m\u00e9dio R da \u00f3rbita.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Nesse movimento,<\/b><\/span><\/span><\/span><\/p>\n

(a) o per\u00edodo depende de sua massa.<\/b><\/span><\/span><\/span><\/p>\n

(b) a raz\u00e3o entre o cubo do seu per\u00edodo e o quadrado do raio m\u00e9dio da \u00f3rbita \u00e9 uma constante de movimento.<\/b><\/span><\/span><\/span><\/p>\n

(c) o m\u00f3dulo de sua velocidade \u00e9 constante em sua \u00f3rbita.<\/b><\/span><\/span><\/span><\/p>\n

(d) a energia cin\u00e9tica \u00e9 m\u00e1xima no af\u00e9lio.<\/b><\/span><\/span><\/span><\/p>\n

(e) a energia cin\u00e9tica \u00e9 m\u00e1xima no perigeu<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

06-(UEPB-PB)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O astr\u00f4nomo alem\u00e3o J. Kepler(1571-1630), adepto do sistema helioc\u00eantrico, desenvolveu um <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

trabalho de grande vulto, aperfei\u00e7oando as ideias de Cop\u00e9rnico. Em consequ\u00eancia, ele conseguiu estabelecer tr\u00eas leis sobre o movimento dos planetas, que permitiram um grande avan\u00e7o no estudo da astronomia. Um estudante ao ter tomado conhecimento das leis de Kepler concluiu, segundo as proposi\u00e7\u00f5es a seguir, que:<\/b><\/span><\/span><\/span><\/p>\n

I. Para a primeira lei de Kepler (lei das \u00f3rbitas), o ver\u00e3o ocorre quando a Terra est\u00e1 mais pr\u00f3xima do Sol, e o inverno, quando ela est\u00e1 mais afastada.<\/b><\/span><\/span><\/span><\/p>\n

II. Para a segunda lei de Kepler (lei das \u00e1reas), a velocidade de um planeta X, em sua \u00f3rbita, diminui \u00e0 medida que ele se afasta do Sol.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

III. Para a terceira lei de Kepler (lei dos per\u00edodos), o per\u00edodo de rota\u00e7\u00e3o de um planeta em torno de seu eixo, \u00e9 tanto maior quanto maior for seu per\u00edodo de revolu\u00e7\u00e3o.<\/b><\/span><\/span><\/span><\/p>\n

Com base na an\u00e1lise feita, assinale a alternativa correta:<\/b><\/span><\/span><\/span><\/p>\n

a) apenas as proposi\u00e7\u00f5es II e III s\u00e3o verdadeiras<\/b><\/span><\/span><\/span><\/p>\n

b) apenas as proposi\u00e7\u00f5es I e II s\u00e3o verdadeiras<\/b><\/span><\/span><\/span><\/p>\n

c) apenas a proposi\u00e7\u00e3o II \u00e9 verdadeira<\/b><\/span><\/span><\/span><\/p>\n

d) apenas a proposi\u00e7\u00e3o I \u00e9 verdadeira<\/b><\/span><\/span><\/span><\/p>\n

e) todas as proposi\u00e7\u00f5es s\u00e3o verdadeiras<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

07-(UEMG-MG)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em seu movimento em torno do Sol, o nosso planeta obedece \u00e0s leis de Kepler. A tabela a seguir <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

mostra, em ordem alfab\u00e9tica, os 4 planetas mais pr\u00f3ximos do Sol: Baseando-se na tabela apresentada acima, s\u00f3 \u00e9 CORRETO concluir que<\/b><\/span><\/span><\/span><\/p>\n

a) V\u00eanus leva mais tempo para dar uma volta completa em torno do Sol do que a Terra.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) a ordem crescente de afastamento desses planetas em rela\u00e7\u00e3o ao Sol \u00e9: Marte, Terra, V\u00eanus e Merc\u00fario.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) Marte \u00e9 o planeta que demora menos tempo para dar uma volta completa em torno de Sol.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) Merc\u00fario leva menos de um ano para dar uma volta completa em torno do Sol.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

08-(ITA-SP)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere um segmento de reta que liga o centro de qualquer planeta do sistema solar ao centro do <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Sol. De acordo com a 2\u00aa Lei de Kepler, tal segmento percorre \u00e1reas iguais em tempos iguais. Considere, ent\u00e3o, que em dado instante deixasse de existir o efeito da gravita\u00e7\u00e3o entre o Sol e o planeta.<\/b><\/span><\/span><\/span><\/p>\n

Assinale a alternativa correta.<\/b><\/span><\/span><\/span><\/p>\n

a) O segmento de reta em quest\u00e3o continuaria a percorrer \u00e1reas iguais em tempos iguais.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) A \u00f3rbita do planeta continuaria a ser el\u00edptica, porem com focos diferentes e a 2\u00aa Lei de Kepler continuaria v\u00e1lida.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) A \u00f3rbita do planeta deixaria de ser el\u00edptica e a 2\u00aa Lei de Kepler n\u00e3o seria mais v\u00e1lida.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) A 2\u00aa Lei de Kepler s\u00f3 \u00e9 valida quando se considera uma for\u00e7a que depende do inverso do quadrado das dist\u00e2ncias entre os corpos e, portanto, deixaria de ser v\u00e1lida. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) O planeta iria se dirigir em dire\u00e7\u00e3o ao Sol.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

09-(ITA-SP)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Na fic\u00e7\u00e3o cient\u00edfica A Estrela, de H.G. Wells, um grande asteroide passa pr\u00f3ximo a Terra que, em <\/b><\/span><\/span><\/span><\/p>\n

\"Gravita\u00e7\u00e3o\"<\/p>\n

consequ\u00eancia, \u00a0fica com sua nova \u00f3rbita mais pr\u00f3xima do Sol e tem seu ciclo lunar alterado para 80 dias.<\/b><\/span><\/span><\/span><\/p>\n

Pode-se concluir que, ap\u00f3s o fen\u00f4meno, o ano terrestre e a dist\u00e2ncia Terra-Lua v\u00e3o tornar-se, respectivamente,<\/b><\/span><\/span><\/span><\/p>\n

a) mais curto \u2013 aproximadamente a metade do que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) mais curto \u2013 aproximadamente duas vezes o que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) mais curto \u2013 aproximadamente quatro vezes o que era antes.\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) mais longo \u2013 aproximadamente a metade do que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) mais longo \u2013 aproximadamente um quarto do que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Confira a resolu\u00e7\u00e3o comentada<\/span><\/a><\/h3>\n

 <\/p>\n

Clique aqui para ver sobre o tema!<\/a><\/p>\n

Confira as v\u00eddeo aulas!<\/a>\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

Gravita\u00e7\u00e3o Universal Leis de Kepler \u00a0 01-(ENEM-MEC) As leis de Kepler definem o movimento da Terra em torno do Sol. Qual \u00e9, aproximadamente, o \u00a0tempo gasto, em meses, pela Terra para percorrer uma \u00e1rea igual a um quarto da \u00e1rea total da elipse? \u00a0 02-(ENEM-MEC) A\u00a0tabela\u00a0abaixo\u00a0resume\u00a0alguns\u00a0dados\u00a0importantes\u00a0sobre os\u00a0sat\u00e9lites\u00a0de\u00a0J\u00fapiter. Ao observar os\u00a0sat\u00e9lites\u00a0de\u00a0J\u00fapiter\u00a0pela primeira vez, Galileu Galilei fez diversas anota\u00e7\u00f5es e tirou importantes\u00a0conclus\u00f5es<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3575,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-3669","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3669","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=3669"}],"version-history":[{"count":4,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3669\/revisions"}],"predecessor-version":[{"id":9793,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3669\/revisions\/9793"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3575"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=3669"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}