During a picnic, you and two of your friends decide to have a three-way tug-of-war, with three ropes in the middle tied into a knot. Roberta pulls to the west with 412 N of force; Michael pulls to the south with 580 N. In what direction and with what magnitude of force should you pull to keep the knot from moving? (Let the eastward direction be the the +x direction.)

magnitude 1
direction 2 ° (counter-clockwise from the +x-axis)

asked by mymi

13 years ago

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Question

During a picnic, you and two of your friends decide to have a three-way tug-of-war, with three ropes in the middle tied into a knot. Roberta pulls to the west with 412 N of force; Michael pulls to the south with 580 N. In what direction and with what magnitude of force should you pull to keep the knot from moving? (Let the eastward direction be the the +x direction.)
magnitude  1   
direction  2 ° (counter-clockwise from the +x-axis)