A plane weighing 223 kN (22.7 tons) lands on an aircraft carrier. The plane is moving horizontally at 65.3 m/s (146.1 mi/h) when its tailhook grabs hold of the arresting cables. The cables bring the plane to a stop in a distance of 84.0 m.How much work is done on the plane by the arresting cables?

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Asked Dec 17, 2019
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A plane weighing 223 kN (22.7 tons) lands on an aircraft carrier. The plane is moving horizontally at 65.3 m/s (146.1 mi/h) when its tailhook grabs hold of the arresting cables. The cables bring the plane to a stop in a distance of 84.0 m.

How much work is done on the plane by the arresting cables?

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Expert Answer

Step 1

Given,

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Weight of plane, W = 223 kN Initial velocity,u =65.3 m/s Final velocity,v=0 Distance covered,d=84 m

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Step 2

Mass of the plane is calculated as,

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W = mg т 3D 223 x 10 т 3 9.80 m = 22755.10 Kg

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Step 3

Work done to arrest cable is equal to change in kinetic energy of the plane and plane finally comes to res...

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W = AKE 3D— mу? - — тu? 2 W W 30-- ти" 2 -ти? (22755.10)(65.3) W =-48514901.53 J W =-48.5x10° J W 3 48.5 MЈ

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