14 of 30 Sapling Learning people pull simultaneously on a stubborn donkey. Jack

Question

14 of 30 Sapling Learning people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 64.7 N. Jill puils with 71.5 N in a direction 45e to the left, and Jane pulls in a direction 45 to the right with 189 N. (Since the donkey is in stubborn?) Find the magnitude of the net force the people exert on the donkey net force the What is the direction of the net force? Express this as the angle from straight ahead between 0° and 90* with a positive sign for angles to the left and a negative sign for angies to the right.

Explanation / Answer

Net force in the left direction = 71.5sin45o - 189sin45o = -83.1 N

Net force in the ahead direction = 64.7 + 71.5cos45o + 189cos45o = 184.2 N

So, magnitude of the net force = [(-83.1)2 + 184.22]1/2 = 202 N

Direction = tan-1(-83.1 / 184.2) = -24.3o

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