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A Particle Is Acted on by Two Forces, One of Them

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A particle is acted on by two forces, one of them to the west and of magnitude 0.5 dynes (a dyne is a unit of force), and the other in the direction 6060^{\circ} north of east and of magnitude 1 dyne. A third force acting upon the particle that would keep it at equilibrium has a magnitude of ------- dynes and points ------------(north \ south \ east \ west). Round the first answer to 2 decimal places.

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