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Phy 231
Your 'cq_1_22.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** CQ_1_22.1_labelMessages.txt **
An airplane traveling to the northwest is exerting just enough force to overcome wind resistance. It encounters a sudden wind gust which is directed at 30 degrees south of east, which results in a net force in that direction.
During the half-second before the pilot has time to react to the gust, does the airplane speed up, slow down or maintain constant (or very nearly-constant) speed?
answer/question/discussion: ->->->->->->->->->->->-> scussion:
Laid out on a coordinate axis, the direction of motion is negative in the x direction and positive in the y direction. The wind is positive in the x direction and negative in the y direction. Therefore the net force is somewhere in the neighborhood of directly opposite the direction of motion, so the plane will slow down.
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Does it veer a bit to the right, a bit to the left or does it continue traveling along a straight line?
answer/question/discussion: ->->->->->->->->->->->-> scussion:
If we are assuming the plane is travelling directly northwest (135 degrees from positive x), then the wind's force is more significant in the x direction than the y direction. (Whatever the magnitude of the force of the wind, it is multiplied by cos330, or .87, to find the x component, and multiplied by sin330, or -.5, to find the y component. So the x component must be greater-- the wind is not head-on, in other words.) Since it is in the positive x direction (to the right), the plane will veer to the right.
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Good.
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