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the mass of particular eagle istwice that of a hunted pigeon. Suppose the pigeon

ID: 2095415 • Letter: T

Question

the mass of particular eagle istwice that of a hunted pigeon. Suppose the pigeon is flying north at 16.1 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 57.9 deg. below the horizonal, at a speed of 39.1 m/s

Whatis the speed of the eagle immediately after it catches its prey? What is the magnitude of the angle, measure from horizontal, at which the eagle is flying immediately after the strike?

Explanation / Answer

m x 16.1i + 2m x (39.1cos57.9 i - 39.1sin57.9j) = 3mv

v = 19.22i - 22.08j m/s

so speed = sqrt(19.22^2 + 22.08^2) = 29.27 m/s


angle =tan^-1(22.08/19.22) = 48.96 degres below horizontal.