Question

The Vikings of the tribe of Hrothgar the Pretty Good (son of Hrothgar the Great) have discovered a great canoe, stranded in the middle of a frozen lake. Segismund The Gross is pulling the canoe directly in the North direction with a force of 70 Newtons. Brunhilda the Fierce, on the other hand, is pulling the same canoe in an Easterly direction, with a force of 90 Newtons. Hrothgar, very much committed to a neaceful solution of this problem, sends his second in command Gomez the Horrid, to pull in another direction altogether. Hrothgar has directed Gomez to exert a very specific force in a very specific direction, to keep the canoe from moving from its current position. (i.e., all three forces will be in equilibrium.) Assume that the frozen lake can be treated a frictionless surface. a) How much force will Gomez exert on the canoe? b) On what PRECISE direction will this force be applied? (Consider providing a sketch of the three forces involved. Conventionally, you should identify the angle from the East direction as 0°; under this convention, North lies 90° from the East direction, West is 180° from the East direction, etc.) NOTE: If you submit ONLY the sketch, it can be worth a maximum of 20 points. To quality for the total maximum of 25 points, you will have to provide the angle of the resultant direction.

Answer 1