ITA 2023: Considere um sistema de coordenadas x, y, z com respectivos vetores de base sendo z a coordenada vertical. Uma partícula de mas...
ITA 2023: Considere um sistema de coordenadas x, y, z com respectivos vetores de base
sendo z a coordenada vertical. Uma partícula de massa m e carga elétrica de módulo q é colocada em movimento no vácuo, com velocidade
em um espaço tridimensional. Nesse espaço, existem um campo magnético uniforme, ![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0oaOYGtHf2i7D0z8X5x4hBW9dc-4pmV4z3wqy731d4ywZhL3yCOKATs6zbCtsorkB5g3-j_J3B-dl8wwwtCKlC12KLzgjEjwcJo054tz2gnfpmnudnUAqXMPQBZ_tZeI2bh-TITgadMtCLibwgx7Gaj3n94WH2scmzYf5t9J6-zD6jLEgW24WO61dmw/s1600/ITA-2023-INDAGACAO-60.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgE8-fOqykfHTS94BDyG7yXsXSysm_qjhg35F1FXOKzlFCY_-Gz0XGsgum4Z7gKfo5GQRtZbTJ4iG4R2anZ5Ei49OuyY_dw5zV_rEtAGz3_y6-DKJLUrtCBOTn0tn5zwp9OAuT8kujVifXEVUKioVH_SQ0Yzd_VkMdwdRjDfLOBsbDf1TDs5Ivw6i9AfA/s1600/ITA-2023-INDAGACAO-58.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh6U3aa-xahiqE8XonQxd670I9smV5pGVicziCkjMCV9QmZR1wuxqsp2e7caYfYx7rW2SV_ZL6v8faxhYClrZSSgCFsLX01X_CWyPq3NUAX06GPJr29Kn6HlZOrUEy83jj55OLWEaqh-7T40vfEX_h6hwsm4FGAEUAqcxpwjEQzd_sTXY8X4nFC4H9e1A/s1600/ITA-2023-INDAGACAO-59.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh0oaOYGtHf2i7D0z8X5x4hBW9dc-4pmV4z3wqy731d4ywZhL3yCOKATs6zbCtsorkB5g3-j_J3B-dl8wwwtCKlC12KLzgjEjwcJo054tz2gnfpmnudnUAqXMPQBZ_tZeI2bh-TITgadMtCLibwgx7Gaj3n94WH2scmzYf5t9J6-zD6jLEgW24WO61dmw/s1600/ITA-2023-INDAGACAO-60.jpg)
e um campo gravitacional constante, ![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEic2J1rCW6_kJThz8VXCScvaVcmLJWYqoHuWwFPmR4pRbhTBUBmun541RRYQS3faYw6MJceROf3FG-bbSx5uXTx6gRyKeKfjVVwML3Bfkr2UZwAEl2tVsRljVOqEjt-PUTRe_JjKg6nOhGOpyQqyJavJDKpM01BVI6Qn_U6e-nbsidPYjAohiBUOLaqwA/s1600/ITA-2023-INDAGACAO-61.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEic2J1rCW6_kJThz8VXCScvaVcmLJWYqoHuWwFPmR4pRbhTBUBmun541RRYQS3faYw6MJceROf3FG-bbSx5uXTx6gRyKeKfjVVwML3Bfkr2UZwAEl2tVsRljVOqEjt-PUTRe_JjKg6nOhGOpyQqyJavJDKpM01BVI6Qn_U6e-nbsidPYjAohiBUOLaqwA/s1600/ITA-2023-INDAGACAO-61.jpg)
O ângulo θ é escolhido de tal forma que a energia cinética da partícula seja conservada.
Dadas essas informações, é possível inferir que a energia cinética da partícula é igual a
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisdrOU3n_XgKoyU4LEgBaW3kT1FO_khbovlwBAk0n5SFWZqphU0y7dNzcvsqgGIT16CotuBh1gXOTiLETYjXSzi6eSrp9jCMFAsO9RwW4XcMN7rzdHSxAwKQKQU60daoNDm9-4MjatF-BTCOpkHek5q5L3TsRncNNcXRczBg7e2Q9LxaYwLt1ERDHsNQ/s1600/ITA-2023-INDAGACAO-62.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhXQJ4SXzOqJdUO8WErDSDhpnqYA3okDQ2ZINJIYwR7SfPkopl8-Zv_OKPom7biVIQ33FuViU_WzNAR8dcrfLL3vRbsmNEA3QzDKKkEiS7Ic9HYYS0EpIhVqNHTb2hG5whEi0IqZ8QJbrLwYbyIq6m34tle785b_GW06EsJ78YXCtcRhNza74gM9z8N8Q/s1600/ITA-2023-INDAGACAO-63.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwvx7uKIjj4jwpUw__U1lxA8JlFAVdhPlCZWt2Sste44ooYQBnoGhAEE4FdeNys1njoVvnHrs3n5iC3dAEn7lkBWZiKY2b_7PeIiZ1HPpuv7YDJaqyFdoG_y26XNsXckEEtolFXCsW2mHGtH9pjGtAluQlBr67pSIoiU7n2Pb2wD2_MN7SGVKRHWW5cQ/s1600/ITA-2023-INDAGACAO-64.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpMHXTzyv2NoF4Vxp1S6twpozF1cQM_kzo_WFGP_FXgTgWlkGn2WaHlr15NCtgUIVzcef5aDxOIlUr-YzMjUrZDQ7_Cy5vcpjBj9l9x5ueiNBFAOWRVtbHPsbM8vJIm3Fl8sPx8w2ubcKP_-SP81sGDQ5_NafrXx3nDiJLy9902HS57-Lw6eFNRPArUA/s1600/ITA-2023-INDAGACAO-65.jpg)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitxZ3SzaLaHlZm73vAgfCNZP7tm4SaMDM35R-HvtP7xmE6VX0vaj8vEIe5LNZaC4Qf6Z1pwzBskYwEDs8HOP8MdLoimyjpg2gL536Yz-90ql0_qKE3qyl2IRF6h9xwFo_kMERbeQ5Im80iBwCuQ1gIth5DZItxDYineq-ambwW_aaKllYIYzNw6UGFAg/s1600/ITA-2023-INDAGACAO-66.jpg)
GABARITO:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitxZ3SzaLaHlZm73vAgfCNZP7tm4SaMDM35R-HvtP7xmE6VX0vaj8vEIe5LNZaC4Qf6Z1pwzBskYwEDs8HOP8MdLoimyjpg2gL536Yz-90ql0_qKE3qyl2IRF6h9xwFo_kMERbeQ5Im80iBwCuQ1gIth5DZItxDYineq-ambwW_aaKllYIYzNw6UGFAg/s1600/ITA-2023-INDAGACAO-66.jpg)
PRÓXIMA QUESTÃO:
QUESTÃO DISPONÍVEL EM: