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# More Exercises and Solutions - EXTRA EXAMPLES Example 1 The...

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EXTRA EXAMPLES Example 1 The diagram below shows the forces acting on a plane which is flying at a constant height. There is a large force of 400,000 newtons from the engine thrust and a smaller force of 40,000 newtons from the wind. [ The lift generated the air flowing over the wings exactly balances the downward force of gravity on the plane so we do not need to consider vertical forces here ]. To begin with the plane is headed due East. The diagram below is a 2D diagram drawn from the point of view of someone looking down on the plane. (a) Use vector methods to find the total force vector acing on the plane (express your answer in terms of i and j ) (b) What direction is the total force pointing in ? (c) What direction will the plane actually fly in when we take both forces into account (d) In what direction θ (measured from the positive x axis) should the pilot fly in so that the plane is actually flying due east ? The wind is still blowing at an angle of 30 degrees.

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SOLUTION Be careful here to underline the vectors i
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More Exercises and Solutions - EXTRA EXAMPLES Example 1 The...

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