Answer to Question #241596 in Molecular Physics | Thermodynamics for Briannna

Question #241596

Four sled dogs are pulling a 1000kg load, Sled dog A is pulling the load at 20 N, 10° north of east. Sled dog B is pulling the load at 55 N, 70° north of east. Sled dog C is pulling the load at 45 N, 33° north of west, while sled dog D exerts 30 N at a direction of 80° south of west. What is the resultant force acting on the load?


1
Expert's answer
2021-09-24T09:25:06-0400


Find the x- and y-component of the resultant:


"R_x=R_E=20\\cos10\u00b0+55\\cos70\u00b0-\\\\-45\\cos33\u00b0-30\\cos80\u00b0=-4.44\\text{ N}.\\\\\\space\\\\\nR_y=R_N=20\\sin10\u00b0+55\\sin70\u00b0+\\\\+45\\sin33\u00b0-30\\sin80\u00b0=50.1\\text{ N}.\\\\\\space\\\\\nR=\\sqrt{R_N^2+R_E^2}=50.3\\text{ N}.\\\\\\space\\\\\n\\theta=\\arctan\\frac{R_N}{|R_E|}=84.9\u00b0\\text{ N of W}."


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