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 F- = 334-N drag force on its hull and theta = 43.5degree. 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). Choose the x direction as east and the y direction as north. n = P = Now choose the x direction as theta = 43.5degree north of east and the y direction as theta = 43.5degree west of north. n Your response is within 10% of the correct value. This may be due to round off error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize round off error. N

Explanation / Answer

b)

n = 351.9588 N

p = 485.21 N

NOTE: The answers will remain same as orientation of the axes doesn't change the forces' magnitude.

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