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. NoExplanation / 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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