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

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 = 187-N drag force on its hull and θ = 39.5 degree . 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(39.5) - n = 0
Psin(39.5) - D = 0, so P = D/sin(39.5) = 294 N
n = Pcos(39.5) = 227 N

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