Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with

Question

Three people pull simultaneously on a stubborn donkey. Jack pulls eastward with a force of 61.9 N, Jill pulls with 64.3 N in the northeast direction, and Jane pulls to the southeast with 145 N. (Since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) Find the magnitude of the net force the people exert on the donkey and what is the direction of the net force? Express this as the angle from the east direction between 0° and 90°, with a positive sign for north of east and a negative sign for south of east.

Explanation / Answer

east : x axis (i) north: y axis ( j) 1: 61.9 i 2: 64.3(cos 45 i + sin(45) j) 3: 145(cos 45 i- sin 45 j) net force= (61.9+45.47+102.54) i +j(-57.07) =209.91 i-57.07j direction= tan^-1(-57.07/209.91)=-15.21 degrees.. i.e, 15.21 degrees south of east..

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