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 79.5 N, Jill pulls with 89.7 N in the northeast direction, and Jane pulls to the southeast with 165 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. What is the direction of the net force? Express this as the angle from the east direction between 0 and 90 degrees, with a positive sign for north of east and a negative sign for south of east.

Explanation / Answer

Force by Jack = 79.5i N
Force by Jill = 63.42i + 63.42j N
Force by Jane = 116.67i - 116.67j N
where i is in the east direction and j is in the north direction
Total force = 259.6i + -53.25j N
= 265 N making an angle -11.590 with the eastern direction

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