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At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions

Chemistry

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At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As a result, three forces act on the ball, Upper F Subscript 1 Baseline Overscript right-arrow EndScripts, Upper F Subscript 2 Baseline Overscript right-arrow EndScripts, and Upper F Subscript 3 Baseline Overscript right-arrow EndScripts (see the drawing). The magnitudes of Upper F Subscript 1 Baseline Overscript right-arrow EndScripts and Upper F Subscript 2 Baseline Overscript right-arrow EndScripts are F1 = 50.0 newtons (N) and F2 = 68.0 N. Determine (a) the magnitude of Upper F Subscript 3 Baseline Overscript right-arrow EndScripts and (b) the angle θ such that the resultant force acting on the ball is zero.