The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pig

Question

The mass of a particular eagle is twice that of a hunted pigeon. Suppose the pigeon is flying north at 17.3 m/s, when the eagle swoops down, grabs the pigeon, and flies off. At the instant right before the attack, the eagle is flying toward the pigeon at an angle 6 56.3° below the horizontal, and a speed of 40.1 m/s. What is the speed of the eagle immediately after it catches its prey? Number 38.06 m s 40.1 m/s What is the magnitude of the angle, measured from 17.3 m/S horizontal, at which the eagle is flying immediately after the strike? Number -35.75

Explanation / Answer

for eagle,

m1 = 2m

v1 = 40.1(cos56.3 i - sin56.3 j)

v1 = 22.25i - 33.36j

For pigeon,
  
m2 = m

v2 = 17.3i

Applying momentum conservation,

m1 v1 + m2 v2 = (m1 + m2) v

61.8m i - 66.72m j = 3 m v

v = 20.6i - 22.24 j m/s

Speed = sqrt(20.6^2 + 22.24^2) = 30.3 m/s .......Ans

magnitude of angle = tan^-1(22.24 / 20.6)

= 47 deg .....Ans

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