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

ID: 1873135 • 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 281-N drag force on its hull and 0 39.5°. 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). the x direction as east and the y direction as north. (b) Now choose the x direction as = 39.5° north of east and the y direction as = 39.5 west of north. No

Explanation / Answer

(A) along y axis,

Fnet = P sin39.5 - F = 0

P = 281 / sin39.5 = 441.8 N

along x axis,

P cos39.5 - n = 0

n = 340.9 N  

(B) along x axis,

P - n cos39.5 - F sin39.5 = 0

P - 0.772n = 178.7 ..... (i)

along y axis,

n sin39.5 - F cos39.5 = 0

n = 281 cos39.5 / sin39.5

n = 340.9 N  


putting in(i)

P = 178.7 + (0.772 x 340.9)

P = 441.8 N  

(C) yes

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