Forces in 2D Video Lessons

Concept

# Problem: The figure 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 220-N drag force on its hull and θ = 40.0°. 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).(a) Choose the x direction as east and the y direction as north.(b) Now choose the x direction as θ = 40.0° north of east and the y direction as θ = 40.0° west of north.(c) Compare your solutions to parts (a) and (b). Do the results agree? Is one method significantly easier?

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###### Problem Details

The figure 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 220-N drag force on its hull and θ = 40.0°. 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).
(a) Choose the x direction as east and the y direction as north.
(b) Now choose the x direction as θ = 40.0° north of east and the y direction as θ = 40.0° west of north.
(c) Compare your solutions to parts (a) and (b). Do the results agree? Is one method significantly easier?