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Physics II workshop_Part_38

# Physics II workshop_Part_38 - it can move around an arc of...

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78 Work Problems 1. Constant force in direction of motion. An iceboat of mass M = 250 kg is moving in the direction of the wind (see diagram below.) The wind exerts a constant force F = 150 N as the boat moves a distance D = 100 m. (a) What is the work done on the boat during its motion. (b) If the boat starts at rest and the friction is negligible, what is the final speed of the boat? 2. Constant force not in direction of motion. The same iceboat now moves at an angle θ = 45° to the wind as shown in the diagram below and the wind exerts a constant force F = 150 N. The distance traveled by the boat is L =100 m. (a) What is the work done on the boat during its motion. (b) If the boat starts at rest and friction is negligible, what is the final speed of the boat?

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79 3. Constant force, varying direction of motion. The iceboat is tethered by a rope to a post so that
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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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Physics II workshop_Part_38 - it can move around an arc of...

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