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Unformatted text preview: it can move around an arc of a circle of radius R = 100 m (see diagram over page). The wind exerts a constant force F =150 N on the boat. (a) What is the work done by the wind on the boat as it rotates through 90°? (b) What is the work done by the tension in the rope during this motion? (c) If the boat starts from rest, what is its speed at the end of this motion (again, friction is negligible)? Hints: it will help to draw a diagram of the situation when the boat has traveled an angle θ around the arc. • Now use your diagram to help you figure out the component of the wind in the direction of a small step, ds , in the boat’s path around the arc. • Find an equation for the small amount of work dW done by the wind over the small step ds . • Remember that for a small angle, ds = Rd . D = 45°...
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 Fall '09
 LIND
 Force, 45°, 90°, θ, 100 m, 250 kg

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