Three people (you and two friends) are pulling a sled across ice. YOU are person

Question

Three people (you and two friends) are pulling a sled across ice. YOU are person #3. The figure is a view from ABOVE, looking down on the sled and the three people. The forces of person 1 and person two are known: 1 = 12 + 9jhat 2 = 18 + 7jhat You apply Force 3. As a result, the total force (the sum of the three forces) is to the right, so in the positive direction. The MAGNITUDE of the total force is 44. (Solution: 3 = 14 - 16jhat) What angle does Force 3 make with respect to the positive direction. (Solution: 48.8 degree , clockwise from the positive direction. Or, if you prefer, 311.2 degree , counterclockwise from the positive direction.)

Explanation / Answer

F1 = 12i + 9j F2 =18i + 7j F1 + F2 + F3 = 44i F3 = (44-12-18) i - (9+7)j = 14i - 16j Angle = tan^-1 ( -16/14) = -48.81 degrees i.e. 48.81 degrees clockwise

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