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The figure below shows the horizontal forces acting on a sailboat moving north a

ID: 2135283 • Letter: T

Question

The figure below shows the horizontal forces acting on a sailboat moving north at constant velocity, seen from a point straight above its mast. At the particular speed of the sailboat, the water exerts a F rightarrow = 169-N drag force on its hull and ? = 41.5degree. For each of the situations (a) and (b) described below, write two component equations representing Newton's second law. Then solve the equations for P (the force exerted by the wind on the sail) and for n (the force exerted by the water on the keel).

Explanation / Answer

PCos theta = n

PSin theta = F


Dividing both, Tan thetta = F/n


Tan 41.5 = 169 / n


n = 191.02 N


Putting in 1st eqn, we get P = 255.04 N





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