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6 July, 20:00

Three arrows are shot horizontally. They have left the bow and are traveling parallel to the ground. Air resistance is negligible. Rank in order, from largest to smallest, the magnitudes of the horizontal forces F1, F2, and F3 acting on the arrows. Some may be equal. State your reasoning.

Arrow 1: is 80g @ 10 m/s

Arrow 2: is 80g @ 9 m/s

Arrow 3: is 90g @ 9 m/s

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  1. 6 July, 20:18
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    F₁ = F₂ = F₃ = 0 N

    Explanation:

    given,

    Arrow 1 mass = 80 g speed = 10 m/s

    Arrow 2 mass = 80 g speed = 9 m/s

    Arrow 3 mass = 90 g speed = 9 m/s

    Horizontal Force: - F₁, F₂ and F₃

    There is no air resistance.

    If Air resistance is zero then the horizontal acceleration of the arrow also equal to zero.

    We know,

    According to newton's second law

    F = m a

    If Acceleration is equal to zero

    Then Force is also equal to zero.

    Hence, F₁ = F₂ = F₃ = 0 N
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