How can a sailboat sail upwind? The wind exerts a force that is approximately perpendicular to the sail, as shown. The keel of the boat prevents it from sliding sideways through the water, such that the water exerts a force perpendicular to the long axis of the boat, as shown. The vector sum of these forces points in the direction that the boat will move. The wind is blowing from the north. The force on the sail is 200 N in a direction of [E 10° S]. The force on the keel is 188 N in a direction of [N 60° W]. Determine the vector sum (magnitude & direction) of these two forces and show that the boat will move upwind.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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5. How can a sailboat sail upwind? The wind
exerts a force that is approximately
perpendicular to the sail, as shown. The keel
of the boat prevents it from sliding sideways
through the water, such that the water exerts a
force perpendicular to the long axis of the boat,
as shown. The vector sum of these forces
Wind
points in the direction that the boat will move.
Force on
The wind is blowing from the north. The force the keel
on the sail is 200 N in a direction of [E 10° S].
The force on the keel is 188 N in a direction
of [N 60° W].
Force om
the sail
Determine the vector sum (magnitude &
direction) of these two forces and show that
the boat will move upwind.
Transcribed Image Text:5. How can a sailboat sail upwind? The wind exerts a force that is approximately perpendicular to the sail, as shown. The keel of the boat prevents it from sliding sideways through the water, such that the water exerts a force perpendicular to the long axis of the boat, as shown. The vector sum of these forces Wind points in the direction that the boat will move. Force on The wind is blowing from the north. The force the keel on the sail is 200 N in a direction of [E 10° S]. The force on the keel is 188 N in a direction of [N 60° W]. Force om the sail Determine the vector sum (magnitude & direction) of these two forces and show that the boat will move upwind.
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