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## Homework Statement

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 560g falcon flying at 19.0m/s hit a 1.60kg raven flying at 9.0m/s . The falcon hit the raven at right angles to its original path and bounced back at 5.0m/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?

## Homework Equations

p=mv

## The Attempt at a Solution

I set the falcon to be the y direction, and the raven to be the x direction. Using conservation of momentum, I came up with

(19 m/s)(0.56 kg) = (-5 m/s)(0.56 kg) + (1.6 kg) (v

_{y}) to find the y component of the end velocity of the raven. I got 6.825 m/s as the answer

(9 m/s)(1.6 kg) = (1.6 kg)(v

_{x}) to find the x component of the end velocity of the raven. I got 9 m/s as the answer.

Using the arc tangent of those two numbers, I got 37.1745483°, rounded to two significant figures, that is 37°, however this answer is incorrect. I'm not sure what I'm doing wrong, could someone please help?