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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