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A 4kg eagle soars 100m above the ground at a speed of 30 m/s whenit starts a div

ID: 1677646 • Letter: A

Question

A 4kg eagle soars 100m above the ground at a speed of 30 m/s whenit starts a dive to catch a mouse. (a) If the work done by theeagle's wings during the dive is +1400 J what is the eagle'skinetic energy right before it catches the mouse? (b) If the trajectory is an arc of a circle of radius 200mcalculate its a centripetal acceleration right before thecatch. (c) Calculate the lift generated by the eagle's wings at thatmoment. (b) If the trajectory is an arc of a circle of radius 200mcalculate its a centripetal acceleration right before thecatch. (c) Calculate the lift generated by the eagle's wings at thatmoment.

Explanation / Answer

mass of eagle m = 4 kg

Initial height h = 100 m

Initila speed u = 30 m / s

Initial total energy of the eagle E = mgh + ( 1/ 2) mu ^2

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