<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg1.png"><div class="c x1 y1 w2 h0"><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls8 ws8">Universidade Fed<span class="_0 blank"></span>eral do Cea<span class="_0 blank"></span>rá </div><div class="t m0 x2 h2 y3 ff1 fs0 fc0 sc0 ls8 ws8">Instituto UFC Virtua<span class="_0 blank"></span>l <span class="ff2 ls0">\u2013</span> Curso de Li<span class="_0 blank"></span>cenciatura em F<span class="_0 blank"></span>ísica Semipresenc<span class="_0 blank"></span>ial </div><div class="t m0 x2 h2 y4 ff1 fs0 fc0 sc0 ls8 ws8">Disciplina: Fís<span class="_0 blank"></span>ica I<span class="ls9 ws0">II</span> <span class="ff2 ls0">\u2013</span> Professor <span class="_0 blank"></span>conteudista: Jo<span class="_0 blank"></span>ão Milton Pereira Jú<span class="_0 blank"></span>nior </div><div class="t m0 x3 h2 y5 ff1 fs0 fc0 sc0 ls8 ws8"> <span class="_0 blank"></span> Aluno: Nairys Co<span class="_0 blank"></span>sta de Freitas </div><div class="t m0 x3 h2 y6 ff1 fs0 fc0 sc0 ls8 ws8"> </div><div class="t m0 x4 h2 y7 ff1 fs0 fc0 sc0 ls8 ws8">Portfólio <span class="ff2 ls0">\u2013</span> Aula<span class="_0 blank"></span> 01 </div><div class="t m0 x5 h3 y8 ff3 fs1 fc0 sc0 ls1 ws1">01.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Duas part<span class="_2 blank"> </span>ículas igualmente carregadas, <span class="_2 blank"> </span>mantidas a 3,20 <span class="_2 blank"> </span>mm d<span class="_2 blank"> </span>e distância <span class="_2 blank"> </span>uma da <span class="_2 blank"> </span>outra, são <span class="_2 blank"> </span>liberadas a </span></span></div><div class="t m0 x6 h4 y9 ff3 fs1 fc0 sc0 ls8 ws8">partir <span class="_3 blank"> </span>do <span class="_3 blank"> </span>repouso. <span class="_3 blank"> </span>Observa-se <span class="_3 blank"> </span>que <span class="_3 blank"> </span>a <span class="_2 blank"> </span>aceler<span class="_2 blank"> </span>ação <span class="_3 blank"> </span>inicial <span class="_2 blank"> </span>da <span class="_3 blank"> </span>primeira <span class="_3 blank"> </span>partícula <span class="_3 blank"> </span>é <span class="_3 blank"> </span>de <span class="_2 blank"> </span>7,22 <span class="_3 blank"> </span>m/s<span class="_2 blank"> </span><span class="fs2 ls2 v1">2 <span class="_3 blank"> </span></span>e <span class="_3 blank"> </span>que <span class="_3 blank"> </span>a <span class="_3 blank"> </span>da </div><div class="t m0 x6 h5 ya ff3 fs1 fc0 sc0 ls8 ws8">segunda <span class="_4 blank"> </span>é <span class="_4 blank"> </span>de <span class="_4 blank"> </span>9,16 <span class="_4 blank"> </span>m/s<span class="fs2 ls2 v1">2</span>. <span class="_4 blank"> </span>A <span class="_4 blank"> </span>massa <span class="_4 blank"> </span>da <span class="_4 blank"> </span>primeira <span class="_4 blank"> </span>partícula <span class="_4 blank"> </span>é <span class="_4 blank"> </span>de <span class="_4 blank"> </span>6,31<span class="_0 blank"></span> <span class="_4 blank"> </span><span class="lsa">× <span class="_5 blank"> </span><span class="ls1">10</span></span><span class="ff5 fs2 ws2 v1">\u2212</span><span class="fs2 v1">7</span></div><div class="t m0 x7 h6 ya ff3 fs1 fc0 sc0 ls8 ws8"> <span class="_4 blank"> </span>kg. <span class="_4 blank"> </span>Encontre <span class="_4 blank"> </span>(a) <span class="_4 blank"> </span>a <span class="_4 blank"> </span>massa <span class="_4 blank"> </span>da </div><div class="t m0 x6 h6 yb ff3 fs1 fc0 sc0 ls8 ws8">segunda partícula e (b) o módulo da carga comum às duas. </div><div class="t m0 x5 h6 yc ff3 fs1 fc0 sc0 ls8 ws8">Resposta: </div><div class="t m0 x5 h3 yd ff3 fs1 fc0 sc0 ls8 ws3">(a)<span class="ff4 ls3 ws8"> </span><span class="ff6 ws4">m</span><span class="fs2 ls2 v2">2</span><span class="ws8"> = 4,97 x 10<span class="fs2 ws5 v1">-7</span><span class="ls4"> <span class="lsb ws6">kg</span></span> </span></div><div class="t m0 x5 h3 ye ff3 fs1 fc0 sc0 ls8 ws3">(b)<span class="ff4 ls5 ws8"> </span><span class="ff6 ws4">q</span><span class="ws8"> = 7,26x10<span class="fs2 ws5 v1">-<span class="ls2">11</span></span> C </span></div><div class="t m0 x6 h6 yf ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x5 h3 y10 ff3 fs1 fc0 sc0 ls1 ws1">02.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Duas <span class="_6 blank"> </span>cargas <span class="_7 blank"> </span>pontuais <span class="_7 blank"> </span>livres, <span class="_7 blank"> </span>+q <span class="_7 blank"> </span>e <span class="_7 blank"> </span>+9q, es<span class="_0 blank"></span>tão <span class="_7 blank"> </span>afastadas <span class="_7 blank"> </span>por <span class="_7 blank"> </span>uma <span class="_6 blank"> </span>distância <span class="_7 blank"> </span>d. <span class="_7 blank"> </span>Uma <span class="_7 blank"> </span>terceira <span class="_7 blank"> </span>carga <span class="_7 blank"> </span>é </span></span></div><div class="t m0 x6 h6 y11 ff3 fs1 fc0 sc0 ls8 ws8">colocada de tal modo que todo o sistema fica em equilíbrio. </div><div class="t m0 x6 h6 y12 ff3 fs1 fc0 sc0 ls8 ws8">a) Determine a posição, o módulo e o sinal da terc<span class="_0 blank"></span>eira carga. </div><div class="t m0 x6 h6 y13 ff3 fs1 fc0 sc0 ls8 ws8">b) Mostre que o equilíbrio é instável. <span class="ff1">JUSTIFIQUE SUA RESPOSTA</span> </div><div class="t m0 x6 h6 y14 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x5 h3 y15 ff3 fs1 fc0 sc0 ls1 ws1">03.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Duas <span class="_4 blank"> </span>cargas <span class="_8 blank"> </span>fixas, <span class="_8 blank"> </span>+1,07 <span class="_8 blank"> </span><span class="ff5 ws7">\u03bc</span>C <span class="_8 blank"> </span>e <span class="_4 blank"> </span><span class="ff5 ls6">\u2212</span>3,28 <span class="_8 blank"> </span><span class="ff5 ws7">\u03bc</span>C, <span class="_8 blank"> </span>estão<span class="_2 blank"> </span> <span class="_8 blank"> </span>a <span class="_3 blank"> </span>61<span class="_2 blank"> </span>,8 <span class="_8 blank"> </span>cm <span class="_8 blank"> </span>de <span class="_4 blank"> </span>distância <span class="_8 blank"> </span>en<span class="_2 blank"> </span>tre <span class="_8 blank"> </span>si. <span class="_8 blank"> </span>Onde <span class="_4 blank"> </span>se <span class="_8 blank"> </span>pode <span class="_4 blank"> </span>localizar </span></span></div><div class="t m0 x6 h6 y16 ff3 fs1 fc0 sc0 ls8 ws8">uma terceira carga de modo que nenhuma força resultante aja sobre ela? </div><div class="t m0 x5 h6 y17 ff3 fs1 fc0 sc0 ls8 ws8">Resposta: </div><div class="t m0 x5 h6 y18 ff6 fs1 fc0 sc0 ls8 ws4">r<span class="ff3 ws8"> = 1,44m </span></div><div class="t m0 x5 h3 y19 ff3 fs1 fc0 sc0 ls1 ws1">04.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Duas <span class="_8 blank"> </span>esferas <span class="_8 blank"> </span>condutoras <span class="_8 blank"> </span>idênticas, <span class="_8 blank"> </span>mantidas <span class="_8 blank"> </span>fixas, <span class="_8 blank"> </span>atraem<span class="_2 blank"> </span>-se <span class="_8 blank"> </span>com <span class="_8 blank"> </span>uma <span class="_8 blank"> </span>força <span class="_4 blank"> </span>eletrostática <span class="_3 blank"> </span>d<span class="_2 blank"> </span>e <span class="_8 blank"> </span>módulo<span class="_0 blank"></span> </span></span></div><div class="t m0 x6 h6 y1a ff3 fs1 fc0 sc0 ls8 ws8">igual <span class="_3 blank"> </span>a <span class="_3 blank"> </span>0,25 <span class="_3 blank"> </span>N <span class="_2 blank"> </span>qu<span class="_2 blank"> </span>ando <span class="_3 blank"> </span>separadas <span class="_2 blank"> </span>p<span class="_2 blank"> </span>or <span class="_3 blank"> </span>uma <span class="_3 blank"> </span>distância <span class="_3 blank"> </span>de <span class="_3 blank"> </span>30 <span class="_3 blank"> </span>cm. <span class="_3 blank"> </span>As <span class="_2 blank"> </span>esferas <span class="_3 blank"> </span>são <span class="_3 blank"> </span>então <span class="_3 blank"> </span>ligadas <span class="_2 blank"> </span>p<span class="_2 blank"> </span>or <span class="_3 blank"> </span>um <span class="_2 blank"> </span>f<span class="_2 blank"> </span>io </div><div class="t m0 x6 h6 y1b ff3 fs1 fc0 sc0 ls8 ws8">condutor fin<span class="_2 blank"> </span>o. Quando <span class="_2 blank"> </span>o fio <span class="_2 blank"> </span>é <span class="_2 blank"> </span>removido, as <span class="_2 blank"> </span>esferas se <span class="_2 blank"> </span>repelem <span class="_2 blank"> </span>com uma força <span class="_2 blank"> </span>eletrostática de <span class="_2 blank"> </span>módulo </div><div class="t m0 x6 h6 y1c ff3 fs1 fc0 sc0 ls8 ws8">igual <span class="_4 blank"> </span>a <span class="_4 blank"> </span>0,0<span class="_2 blank"> </span>15 <span class="_4 blank"> </span>N. <span class="_5 blank"> </span>(a) <span class="_4 blank"> </span>Quais <span class="_4 blank"> </span>eram <span class="_5 blank"> </span>as <span class="_4 blank"> </span>cargas <span class="_4 blank"> </span>iniciais <span class="_4 blank"> </span>d<span class="_2 blank"> </span>as <span class="_4 blank"> </span>esferas? <span class="_5 blank"> </span>(b) <span class="_4 blank"> </span>Qua<span class="_2 blank"> </span>l <span class="_8 blank"> </span>o <span class="_5 blank"> </span>valor <span class="_4 blank"> </span>da <span class="_5 blank"> </span>carga <span class="_4 blank"> </span>p<span class="_2 blank"> </span>ositiva <span class="_4 blank"> </span>que </div><div class="t m0 x6 h6 y1d ff3 fs1 fc0 sc0 ls8 ws8">teria que <span class="_3 blank"> </span>s<span class="_0 blank"></span>er <span class="_2 blank"> </span>colocada igualme<span class="_2 blank"> </span>nte na <span class="_2 blank"> </span>Terra <span class="_2 blank"> </span>e n<span class="_2 blank"> </span>a <span class="_2 blank"> </span>Lua, de <span class="_2 blank"> </span>modo <span class="_2 blank"> </span>a <span class="_2 blank"> </span>neutralizar a <span class="_2 blank"> </span>atracão <span class="_2 blank"> </span>gravitacional?<span class="_2 blank"> </span> <span class="_2 blank"> </span><span class="lsc">(c) </span></div><div class="t m0 x6 h6 y1e ff3 fs1 fc0 sc0 ls8 ws8">Será necessário conhecer a distância da Terra a Lua para resolver este problema? Justifique.<span class="_2 blank"> </span> (d) </div><div class="t m0 x6 h6 y1f ff3 fs1 fc0 sc0 ls8 ws8">Quantos quilogramas de hidrogênio serão necessários para fornecer a carga calculada no item (a). </div><div class="t m0 x6 h6 y20 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x5 h3 y21 ff3 fs1 fc0 sc0 ls1 ws1">05.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Fixa-se <span class="_2 blank"> </span>uma <span class="_3 blank"> </span>carga <span class="ff6 ws4">Q</span> <span class="_3 blank"> </span>em cada <span class="_3 blank"> </span>um <span class="_2 blank"> </span>de <span class="_2 blank"> </span>dois <span class="_3 blank"> </span>vértices<span class="_0 blank"></span> <span class="_2 blank"> </span>opostos <span class="_2 blank"> </span>d<span class="_2 blank"> </span>e <span class="_2 blank"> </span>um <span class="_2 blank"> </span>quadrado. <span class="_2 blank"> </span>Coloca<span class="_3 blank"> </span>-se u<span class="_2 blank"> </span>ma <span class="_2 blank"> </span>carga <span class="_2 blank"> </span><span class="ff6 ws4">q</span> <span class="_2 blank"> </span>em </span></span></div><div class="t m0 x6 h6 y22 ff3 fs1 fc0 sc0 ls8 ws8">cada <span class="_4 blank"> </span>u<span class="_2 blank"> </span>m <span class="_4 blank"> </span>dos <span class="_5 blank"> </span>outros <span class="_5 blank"> </span>dois <span class="_4 blank"> </span>vértices. <span class="_5 blank"> </span>(a) <span class="_4 blank"> </span>Se <span class="_5 blank"> </span>a <span class="_5 blank"> </span>força <span class="_5 blank"> </span>elétrica <span class="_5 blank"> </span>resultante <span class="_5 blank"> </span>sobre <span class="_5 blank"> </span><span class="ff6 ws4">Q</span> <span class="_5 blank"> </span>é <span class="_5 blank"> </span>nula, <span class="_5 blank"> </span>qual <span class="_5 blank"> </span>é <span class="_5 blank"> </span>a <span class="_4 blank"> </span>relação </div><div class="t m0 x6 h6 y23 ff3 fs1 fc0 sc0 ls8 ws8">entre <span class="_5 blank"> </span><span class="ff6 ws4">Q</span><span class="ls7"> <span class="lsa">e <span class="_9 blank"> </span></span></span><span class="ff6 ws4">q</span>? <span class="_5 blank"> </span>(b) <span class="_5 blank"> </span>Po<span class="_2 blank"> </span>deria <span class="_5 blank"> </span>escolher-se <span class="_9 blank"> </span><span class="ff6 ws4">q</span> <span class="_4 blank"> </span>d<span class="_2 blank"> </span>e <span class="_5 blank"> </span>forma <span class="_5 blank"> </span>a <span class="_9 blank"> </span>anular <span class="_5 blank"> </span>a <span class="_5 blank"> </span>força <span class="_9 blank"> </span>e<span class="_0 blank"></span>létrica <span class="_5 blank"> </span>resultante <span class="_9 blank"> </span>sobre<span class="_0 blank"></span> <span class="_5 blank"> </span>todas<span class="_2 blank"> </span> <span class="_9 blank"> </span>as<span class="_0 blank"></span> </div><div class="t m0 x6 h6 y24 ff3 fs1 fc0 sc0 ls8 ws8">cargas? Explique sua resposta. </div><div class="t m0 x3 h6 y25 ff3 fs1 fc0 sc0 ls8 ws8">Resposta: </div><div class="t m0 x5 h3 y26 ff3 fs1 fc0 sc0 ls8 ws3">(a)<span class="ff4 ls3 ws8"> </span><span class="ff6 ws4">Q</span><span class="ls4 ws8"> <span class="ls6">= <span class="ls8">- 2x2<span class="fs2 ws5 v1">0,5</span><span class="ff6 ws4">q</span> </span></span></span></div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x8 y27 w3 h7" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg2.png"><div class="c x1 y1 w2 h0"><div class="t m0 x5 h3 y28 ff3 fs1 fc0 sc0 ls8 ws3">(b)<span class="ff4 ls5 ws8"> </span><span class="ws8">Não. </span></div><div class="t m0 x5 h3 y29 ff3 fs1 fc0 sc0 ls1 ws1">06.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Qual <span class="_4 blank"> </span>é <span class="_4 blank"> </span>a <span class="_4 blank"> </span>forca <span class="_4 blank"> </span>resultante <span class="_4 blank"> </span>que <span class="_4 blank"> </span>age <span class="_4 blank"> </span>sobre <span class="_5 blank"> </span>a <span class="_8 blank"> </span>carga <span class="_4 blank"> </span>do <span class="_5 blank"> </span>vértice <span class="_8 blank"> </span>inferior <span class="_4 blank"> </span>esquerdo <span class="_4 blank"> </span>do <span class="_4 blank"> </span>quadrado <span class="_4 blank"> </span>de <span class="_4 blank"> </span>lado<span class="_3 blank"> </span> <span class="_4 blank"> </span><span class="ff6 ws4">d</span> </span></span></div><div class="t m0 x6 h4 y2a ff3 fs1 fc0 sc0 ls8 ws8">mostrado na figura abaixo? Suponha que <span class="_2 blank"> </span><span class="ff6 ws4">q</span> = 5,0 x 10<span class="fs2 ws5 v1">-8</span>C e <span class="ff6 ws4">d</span> = 15,0 cm. As c<span class="_0 blank"></span>argas estão fixas. </div></div><div class="c x3 y2b w4 h8"><div class="t m1 x1 h9 y2c ff3 fs3 fc0 sc0 ls8 ws8"> </div></div><div class="c x9 y2d w5 ha"><div class="t m1 xa hb y2e ff7 fs4 fc0 sc0 ls12 ws9">+q<span class="ls8 ws8"> </span></div></div><div class="c xb y2f w6 hc"><div class="t m1 xa hb y30 ff7 fs4 fc0 sc0 ls8 ws8">+2q </div></div><div class="c xc y31 w7 hd"><div class="t m1 xd hb y32 ff7 fs4 fc0 sc0 ls8 ws8"> <span class="ff8 lsd">\u2013</span> 2q </div></div><div class="c xe y33 w8 he"><div class="t m1 xa hb y34 ff7 fs4 fc0 sc0 ls8 ws8"> <span class="ff8 lsd">\u2013</span> q </div></div><div class="c x3 y35 w9 hf"><div class="t m1 xa hb y36 ff7 fs4 fc0 sc0 ls8 ws8">d </div></div><div class="c x1 y1 w2 h0"><div class="t m0 xf h3 y37 ff7 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x5 h3 y38 ff3 fs1 fc0 sc0 ls1 ws1">07.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Três <span class="_3 blank"> </span>cargas <span class="_3 blank"> </span>A, <span class="_3 blank"> </span>B, <span class="_8 blank"> </span>C, <span class="_3 blank"> </span>respectivamente <span class="_3 blank"> </span>iguais <span class="_3 blank"> </span>a <span class="_3 blank"> </span>+q, <span class="_3 blank"> </span>+Q <span class="_8 blank"> </span>e <span class="_8 blank"> </span><span class="ff5 ls6">\u2013</span> <span class="_3 blank"> </span>Q <span class="_8 blank"> </span>são <span class="_3 blank"> </span>colocadas <span class="_3 blank"> </span>nos <span class="_8 blank"> </span>vértices <span class="_3 blank"> </span>de <span class="_3 blank"> </span>um <span class="_3 blank"> </span>triângulo </span></span></div><div class="t m0 x6 h6 y39 ff3 fs1 fc0 sc0 ls8 ws8">eqüilátero, <span class="_5 blank"> </span>como <span class="_5 blank"> </span>mostrado <span class="_4 blank"> </span>na <span class="_5 blank"> </span>figura <span class="_5 blank"> </span>abaixo. <span class="_5 blank"> </span>A <span class="_4 blank"> </span>forca <span class="_5 blank"> </span>res<span class="_2 blank"> </span>ultante <span class="_5 blank"> </span>sobre <span class="_5 blank"> </span>a <span class="_5 blank"> </span>carga <span class="_5 blank"> </span>C <span class="_5 blank"> </span>(+q) <span class="_4 blank"> </span>d<span class="_2 blank"> </span>evida <span class="_5 blank"> </span>às <span class="_4 blank"> </span>duas </div><div class="t m0 x6 h6 y3a ff3 fs1 fc0 sc0 ls8 ws8">outras cargas é: </div><div class="t m0 x3 h3 y3b ff3 fs1 fc0 sc0 ls13 wsa">a)<span class="ff4 lse ws8"> <span class="ff3 ls8">Vertical para cima </span></span></div><div class="t m0 x3 h3 y3c ff3 fs1 fc0 sc0 ls14 wsb">b)<span class="ff4 lsf ws8"> <span class="ff3 ls8">Vertical para baixo </span></span></div><div class="t m0 x3 h3 y3d ff3 fs1 fc0 sc0 lsc wsc">c)<span class="ff4 ls10 ws8"> <span class="ff3 ls8">Nula </span></span></div><div class="t m0 x3 h3 y3e ff3 fs1 fc0 sc0 ls14 wsb">d)<span class="ff4 lsf ws8"> <span class="ff3 ls8">Horizontal para a esquerda </span></span></div><div class="t m0 x3 h3 y3f ff3 fs1 fc0 sc0 ls6 wsd">e)<span class="ff4 ls11 ws8"> <span class="ff3 ls8">Horizontal para a direita </span></span></div><div class="t m0 x10 h3 y40 ff7 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x10 h10 y41 ff9 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x10 h10 y42 ff9 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x10 h10 y43 ff9 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x10 h10 y44 ff9 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x3 h10 y45 ff9 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h10 y46 ff9 fs1 fc0 sc0 ls8 ws8">ATENCÃO: Você deve justicar sua resposta completamente<span class="_0 blank"></span> para que ela seja válida.<span class="_2 blank"> </span> </div><div class="t m0 x3 h6 y47 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x5 h3 y48 ff3 fs1 fc0 sc0 ls1 ws1">08.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Penduram-se duas bolinhas semelhantes, de massa m, a fios de <span class="_2 blank"> </span>seda de </span></span></div><div class="t m0 x6 h6 y49 ff3 fs1 fc0 sc0 ls8 ws8">comprimento <span class="_7 blank"> </span>L; <span class="_9 blank"> </span>as <span class="_7 blank"> </span>bolinhas <span class="_7 blank"> </span>têm <span class="_7 blank"> </span>cargas <span class="_9 blank"> </span>iguais <span class="_9 blank"> </span>q<span class="_2 blank"> </span> <span class="_7 blank"> </span>conforme <span class="_7 blank"> </span>a <span class="_9 blank"> </span>Fig. <span class="_7 blank"> </span>14. </div><div class="t m0 x6 h6 y4a ff3 fs1 fc0 sc0 ls8 ws8">Suponha <span class="_8 blank"> </span>que<span class="_2 blank"> </span><span class="ffa ws7">\uf020\uf071</span> <span class="_8 blank"> </span>seja <span class="_8 blank"> </span>tão <span class="_8 blank"> </span>pequeno <span class="_4 blank"> </span>que <span class="_8 blank"> </span>se <span class="_8 blank"> </span>possa<span class="_2 blank"> </span> <span class="_8 blank"> </span>substituir <span class="_8 blank"> </span>tan<span class="ffa ws7">\uf071</span> <span class="_4 blank"> </span>por <span class="_4 blank"> </span>seu </div><div class="t m0 x6 h6 y4b ff3 fs1 fc0 sc0 ls8 ws8">equivalente <span class="_6 blank"> </span>aproximado, <span class="_7 blank"> </span>sen<span class="_2 blank"> </span><span class="ffa ws7">\uf071</span>. <span class="_6 blank"> </span>(a) <span class="_7 blank"> </span>A essa <span class="_7 blank"> </span>aproximação, <span class="_6 blank"> </span>mostre <span class="_7 blank"> </span>que, </div><div class="t m0 x6 h6 y4c ff3 fs1 fc0 sc0 ls8 ws8">para o equilíbrio </div><div class="t m0 x3 h6 y4d ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y4e ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y4f ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y50 ff3 fs1 fc0 sc0 ls8 ws8"> </div></div><div class="c x11 y51 wa h11"><div class="t m0 xa h12 y52 ff3 fs0 fc0 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x12 y53 wb h13" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg3.png"><div class="c x1 y1 w2 h0"><div class="t m0 x6 h6 y28 ff3 fs1 fc0 sc0 ls8 ws8">onde x é a separação entre as bolinhas. (b) Se L= 122 cm, m= 11,2 g, e x = 4,70 cm, qual é o </div><div class="t m0 x6 h6 y54 ff3 fs1 fc0 sc0 ls8 ws8">valor de q? </div><div class="t m0 x3 h6 y55 ff3 fs1 fc0 sc0 ls8 ws8">Resposta: </div><div class="t m0 x3 h4 y56 ff6 fs1 fc0 sc0 ls8 ws4">q<span class="ff3 ws8"> = 2,28 x 10<span class="fs2 ws5 v1">-8</span></span></div><div class="t m0 x13 h6 y56 ff3 fs1 fc0 sc0 ls8 ws8"> C </div><div class="t m0 x6 h6 y57 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y58 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x5 h3 y59 ff3 fs1 fc0 sc0 ls1 ws1">09.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Três <span class="_7 blank"> </span>partículas <span class="_7 blank"> </span>carregadas <span class="_7 blank"> </span>estão <span class="_7 blank"> </span>sobre <span class="_7 blank"> </span>uma <span class="_9 blank"> </span>linha <span class="_6 blank"> </span>reta, <span class="_7 blank"> </span>separadas <span class="_9 blank"> </span>p<span class="_2 blank"> </span>ela <span class="_9 blank"> </span>d<span class="_2 blank"> </span>istância <span class="_7 blank"> </span>d, <span class="_7 blank"> </span>como <span class="_7 blank"> </span>mostra <span class="_9 blank"> </span>a </span></span></div><div class="t m0 x6 h6 y5a ff3 fs1 fc0 sc0 ls8 ws8">figura. <span class="_8 blank"> </span>As <span class="_8 blank"> </span>cargas <span class="_8 blank"> </span>q<span class="fs2 v2">1</span></div><div class="t m0 x14 h6 y5a ff3 fs1 fc0 sc0 ls8 ws8"> <span class="_8 blank"> </span>e <span class="_3 blank"> </span>q<span class="_2 blank"> </span><span class="fs2 ls2 v2">2 <span class="_8 blank"> </span></span>são <span class="_8 blank"> </span>mantidas <span class="_8 blank"> </span>fixas. <span class="_8 blank"> </span>Descobre<span class="_2 blank"> </span>-se <span class="_3 blank"> </span>qu<span class="_2 blank"> </span>e <span class="_8 blank"> </span>a <span class="_8 blank"> </span>carga <span class="_3 blank"> </span>q<span class="_2 blank"> </span><span class="fs2 ls2 v2">3</span>, <span class="_3 blank"> </span>q<span class="_2 blank"> </span>ue <span class="_8 blank"> </span>é <span class="_8 blank"> </span>livre <span class="_8 blank"> </span>para <span class="_8 blank"> </span>se <span class="_8 blank"> </span>deslocar, </div><div class="t m0 x6 h6 y5b ff3 fs1 fc0 sc0 ls8 ws8">está em equilíbrio sob a ação das forças elétricas. Encontre q<span class="fs2 ls2 v2">1 </span></div><div class="t m0 x15 h6 y5b ff3 fs1 fc0 sc0 ls8 ws8">em termos de q<span class="fs2 ls2 v2">2</span>. </div><div class="t m0 x3 h6 y5c ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y5d ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y5e ff3 fs1 fc0 sc0 ls8 ws8">Resposta: </div><div class="t m0 x3 h6 y5f ff3 fs1 fc0 sc0 ls14">q<span class="fs2 ls2 v2">1</span><span class="ls4 ws8"> <span class="lsa">= <span class="ls8">- </span></span></span><span class="ls1 ws1">4q<span class="fs2 ls8 v2">2</span></span></div><div class="t m0 x16 h6 y5f ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y60 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y61 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x3 h6 y62 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x5 h3 y63 ff3 fs1 fc0 sc0 ls1 ws1">10.<span class="ff4 ls8 ws8"> <span class="_1 blank"></span><span class="ff3">Calcule o número em coulombs da carga positiva existente em um <span class="_2 blank"> </span>copo d'água. Suponha que o volume </span></span></div><div class="t m0 x6 h4 y64 ff3 fs1 fc0 sc0 ls8 ws8">d'água seja de 250 cm<span class="fs2 ls2 v1">3</span>. </div><div class="t m0 x5 h6 y65 ff3 fs1 fc0 sc0 ls8 ws8">Resposta: </div><div class="t m0 x5 h4 y66 ff3 fs1 fc0 sc0 ls8 ws8">Q = 1,34 x 10<span class="fs2 ls2 v1">7</span>C </div><div class="t m0 x6 h6 y67 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x6 h6 y68 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x6 h6 y69 ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x6 h6 y6a ff3 fs1 fc0 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y6b ff1 fs5 fc1 sc0 ls13 ws8"> <span class="ls8">Respostas scaneadas na próxima página </span></div><div class="t m0 x6 h14 y6c ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y6d ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y6e ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y6f ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y70 ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y71 ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y72 ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y73 ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x6 h14 y74 ff1 fs5 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y75 wc h15" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg4.png"><div class="c x1 y1 w2 h0"><div class="t m0 x6 h14 y76 ff1 fs5 fc1 sc0 ls8 ws8"> </div><div class="t m0 x17 h16 y77 ff1 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x3 h16 y78 ff1 fs1 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y79 wd h17" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg5.png"><div class="c x1 y1 w2 h0"><div class="t m0 x18 h16 y7a ff1 fs1 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y79 wd h17" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg6.png"><div class="c x1 y1 w2 h0"><div class="t m0 x18 h16 y7a ff1 fs1 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y7b wd h18" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg7.png"><div class="c x1 y1 w2 h0"><div class="t m0 x18 h16 y7c ff1 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x18 h16 y7d ff1 fs1 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y7e we h19" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg8.png"><div class="c x1 y1 w2 h0"><div class="t m0 x18 h16 y7f ff1 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x19 h16 y80 ff1 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x3 h16 y81 ff1 fs1 fc1 sc0 ls8 ws8"> </div><div class="t m0 x3 h16 y82 ff1 fs1 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y83 wd h1a" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bg9.png"><div class="c x1 y1 w2 h0"><div class="t m0 x18 h16 y84 ff1 fs1 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x3 y79 wd h17" alt="" src="https://files.passeidireto.com/640ec1d8-0f31-47d7-b435-ff6cdff3bf01/bga.png"><div class="c x1 y1 w2 h0"><div class="t m0 x18 h16 y7a ff1 fs1 fc1 sc0 ls8 ws8"> </div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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