-0.75m 3. You are watching a National Geographic Special on television. One segm

Question

-0.75m 3. You are watching a National Geographic Special on television. One segment of the program is about archer fish which inhabit streams in southeast Asia. This fish actually at insects to knock fish keeps its mouth at the surface of the pond and squirts a jet of water from its mouth at a speed of 4 m/s. You watch an archer fish shoot a juicy mosquito off a leaf and into the stream. You estimate that the leaf was about 3/4 of a meter above the stream. You wonder at what minimum angle from the horizontal must the fish shoot a water droplet in order to hit the mosquito. Since you have time during the commercial, you quickly calculate this angle using conservation of energy. spits drops of water them into the water so it can eat them. The commentator states that the archer

Explanation / Answer

initial kinetic energy, KEi = m v^2 / 2 = 8 m

final PE = m g h = m (9.8 x 0.75) = 7.35 m

so finaL KE = 8 - 7.35

= 0.65m  

and 0.65m = m (v0x)^2 / 2

v0x = 1.14 m/s

and v0x = 4 cos(theta)

theta = 73 deg  

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