A pigeon is released from a boat (point B in Figure 4.114) floating on a lake. Because
Chapter 4, Problem 68(choose chapter or problem)
A pigeon is released from a boat (point B in Figure 4.114) floating on a lake. Because of falling air over the cool water, the energy required to fly one meter over the lake is twice the corresponding energy e required for flying over the bank (e = 3joule/meter). To minimize the energy required to fly from B to the loft, L, the pigeon heads to a point P on the bank and then flies along the bank to L. The distance AL is 2000 m, and AB is 500 m. The angle at A is a right angle. (a) Express the energy required to fly from B to L via P as a function of the angle (the angle BPA). (b) What is the optimal angle ? (c) Does your answer change if AL, AB, and e have different numerical values? A | P L B Lake Figure 4.114
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