Exercise 8.40 Part A To protect their young in the nest, peregrine falcons will

Question

Exercise 8.40 Part A To protect their young in the nest, peregrine falcons will fly into birds of prey (such as ravens) at high speed. In one such episode, a 630 g falcon flying at 18.0 m/s hit a 1.40 kg raven flying at 9.0 m/s. The falcon hit the raven at right angles to its original path and bounced back at 5.0 m/s (These figures were estimated by the author as he watched this attack occur in northern New Mexico.) By what angle did the falcon change the raven's direction of motion? Express your answer using two significant figures. 0-3.9 Submit My Answers Give Up Incorrect, One attempt remaining Try Agairn Part B What was the raven's speed right after the collision? Express your answer using two significant figures. u= m/s Submit My Answers Give Up

Explanation / Answer

m1 = 0.63 kg              m2 = 1.4 kg

before collision

speeds

u1x = 18 m/s                    u2x = 0

u1y = 0                          u2y = 9

after collision

v1x = -5m/s                       v2x = v2*costheta

v1y = 0 m/s                       v2y = v2*sintheta

from momentum conservation

along y

Piy = Pfy

m1*u1y + m2*u2y = m1*v1y + m2*v2y

1.4*9 = 0 + 1.4*v2y

v2y = 9 m/s

along x axis

Pix = Pfx

m1*u1x + m2*u2x = m1*v1x + m2*v2x

0.65*18 = -0.65*5 + 1.4*v2x

v2x = 10.7 m/s

direction = tan^(v2y/v2x) = 40 <<<--------answer

v2 = sqrt(9^2+10.7^2)

v2 = 13.98 m/s    <<<--------answer

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