An airplane flies 120 km at a constant altitude in a direction 30.0° north of east. a wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kn in a direction 10.0° south of west. how much work is done on the plane by the air?

Question

Physics

Kane Perkins

19 April, 02:58

An airplane flies 120 km at a constant altitude in a direction 30.0° north of east. a wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kn in a direction 10.0° south of west. how much work is done on the plane by the air?

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Answers (1)

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Philip Buckley · Answer 1

Best Answer: The net angle between the direction of flight of the aircraft and the wind in the opposing direction is 20. THe component opposing the aircraft is 2.4*cos 20 KN

= 2400 * 0.9397 = 2255.2622 N. The distance covered is 120 Km

The work done by the aircraft overcoming the wind is

= 2255.2622 * 120000 = 270631464 = 2.71 x 10^8 N

As the question is trickily worded as : the work done on the plane by the air (wind) the answer is - 2.71 x 10^8 J. (fourth option)