{"id":172,"date":"2020-03-09T17:38:17","date_gmt":"2020-03-09T20:38:17","guid":{"rendered":"http:\/\/fiziko.net\/?page_id=172"},"modified":"2020-03-09T17:41:31","modified_gmt":"2020-03-09T20:41:31","slug":"lancamento-obliquo","status":"publish","type":"page","link":"https:\/\/fiziko.net\/?page_id=172","title":{"rendered":"Lan\u00e7amento Obl\u00edquo"},"content":{"rendered":"\t\t
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Atividade de simula\u00e7\u00e3o<\/span><\/strong><\/h3>

Objetivo:<\/strong> Estudar os movimentos e sua rela\u00e7\u00e3o de independ\u00eancia aplicada ao lan\u00e7amento 2D.<\/span><\/h3>

Considere que dois projetos s\u00e3o lan\u00e7ados simultaneamente de A e B. Na figura \u00e9 mostrado o trajeto e de onde s\u00e3o lan\u00e7ados os projetos.<\/span><\/h3>

Sabendo que o proj\u00e9til A \u00e9 lan\u00e7ado da posi\u00e7\u00e3o H, medida a partir do solo, com inclina\u00e7\u00e3o de 53\u00b0, e com velocidade \u03c5<\/i><\/span>A<\/i><\/span><\/sub>, <\/i><\/span>colidindo no ponto P com o proj\u00e9til B, que \u00e9 lan\u00e7ado com velocidade 56,56 m\/s e inclina\u00e7\u00e3o 45\u00b0, determine o valor da velocidade de A \u03c5<\/span>A<\/span><\/sub> e a altura H.<\/span><\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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No Geogebra<\/span><\/strong><\/h3>

1 \u2013 Usando os valores calculados simule o movimento dos proj\u00e9teis e determine o tempo do movimento, do lan\u00e7amento at\u00e9 a colis\u00e3o entre os blocos.<\/span><\/h3>

2 \u2013 <\/span>Crie o controle deslizante para representar o tempo (0 <\/span>\u2264<\/span> t <\/span>\u2264<\/span> tc), onde tc \u00e9 o tempo decorrido desde o lan\u00e7amento dos proj\u00e9teis at\u00e9 o ponto de colis\u00e3o.<\/span><\/span><\/h3>

3 \u2013 Escreva no campo de entrada do Geogebra os valores da velocidade inicial de A \u03c5<\/span>A<\/span><\/sub>, velocidade inicial de B \u03c5<\/span>B<\/span><\/sub>, posi\u00e7\u00f5es iniciais de A (<\/span>x<\/i><\/span>iA<\/i><\/span><\/sub>, y<\/i><\/span>iA<\/i><\/span><\/sub>) e B (<\/span>x<\/i><\/span>iB<\/i><\/span><\/sub>, y<\/i><\/span>iB<\/i><\/span><\/sub>), lembre-se que altura do lan\u00e7amento \u00e9 H = <\/span>y<\/i><\/span>iA<\/i><\/span><\/sub> e os \u00e2ngulos de lan\u00e7amento de A e B, \u03b8<\/span>A<\/span><\/sub> e \u03b8<\/span>B<\/span><\/sub> e a gravidade <\/span>g<\/i><\/span>.<\/span><\/span><\/h3>

4 \u2013 <\/span>Escreva as equa\u00e7\u00f5es de trajet\u00f3ria de cada part\u00edcula e transmita para o campo de entrada do Geogebra, escrevendo uma fun\u00e7\u00e3o para cada part\u00edcula, <\/span>f<\/i><\/span>A<\/i><\/span><\/sub>(x)<\/i><\/span> e <\/span>f<\/i><\/span>B<\/i><\/span><\/sub>(x).<\/i><\/span><\/span><\/h3>

5 \u2013 Escreva as fun\u00e7\u00f5es hor\u00e1rias da posi\u00e7\u00e3o de cada part\u00edcula A(<\/span>x<\/i><\/span>A<\/i><\/span><\/sub>, y<\/i><\/span>A<\/i><\/span><\/sub>) e B(<\/span>x<\/i><\/span>B, <\/i><\/span><\/sub>y<\/i><\/span>B<\/i><\/span><\/sub>).<\/span><\/span><\/h3>

6 \u2013 Crie dois pontos e atribua \u00e0s coordenadas dos pontos as fun\u00e7\u00f5es hor\u00e1rias das part\u00edculas.<\/span><\/h3>

7 \u2013 Teste a simula\u00e7\u00e3o.<\/span><\/h3>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

Atividade de simula\u00e7\u00e3o Objetivo: Estudar os movimentos e sua rela\u00e7\u00e3o de independ\u00eancia aplicada ao lan\u00e7amento 2D. Considere que dois projetos s\u00e3o lan\u00e7ados simultaneamente de A e B. Na figura \u00e9 mostrado o trajeto e de onde s\u00e3o lan\u00e7ados os projetos. Sabendo que o proj\u00e9til A \u00e9 lan\u00e7ado da posi\u00e7\u00e3o H, medida a partir do solo,…
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