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What is the mathematical relationship between F and D²?

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Answer to a math question What is the mathematical relationship between F and D²?

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A relação matemática entre a força F e a distância D ao quadrado (D²) é normalmente descrita pela lei do inverso do quadrado. Esta lei afirma que a força F é inversamente proporcional ao quadrado da distância D. Matematicamente, isso pode ser expresso como: F ∝ 1/D² ou F=k/D² Onde k é uma constante que depende do sistema físico específico e das unidades utilizadas. Esta relação inversa do quadrado é observada em vários fenômenos físicos, tais como: Força gravitacional: A força gravitacional entre duas massas é inversamente proporcional ao quadrado da distância entre elas. Força eletrostática: A força eletrostática entre duas partículas carregadas é inversamente proporcional ao quadrado da distância entre elas. Intensidade da radiação: A intensidade da radiação (por exemplo, luz, ondas de rádio) diminui com o quadrado da distância da fonte. A lei do inverso do quadrado é uma relação fundamental em muitas áreas da física e da engenharia, e compreendê-la é crucial para analisar e prever o comportamento de vários sistemas físicos.

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