Answer to Question #69387 in Mechanics | Relativity for saas

Question

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 = 27.0 newtons (N) and F2 = 61.0 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.