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Learning Goal: 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 $600g$ falcon flying at $20.0m/s$ ran into a $1.50kg$ raven flying at $9.00m/s$. The falcon hit the raven at a right angle to its original path and bounced back with a speed of $5.00m/s$. By what angle did the falcon change the raven's direction of motion?
Before the collision
After the collision
We can make a sketch of the system belore the collision by simplilying the picture selectod in Part $A$ and roplacing oach objoct with a particlo of oqual mass. The resulting sketch is shown in the following figure, where particle $F$ represents the takon with initial velocily ith and particle $A$ ropresents the raven with initial velochy v?e. (Fgure 2) Now consider the following lour diagrams, where $v_{R}$ and $v_{F}$ are the final velocities of the raven and of the faicon.(Figure 3) Which one competly shows the system ahter the collision?
Write down the inilini $x$ and $y$ componerts of the momontum of the tabon: Ph, and Pry. Then, white the inital $x$ and $y$ components of the momentum of the reven: pris and Priy. Note that the hisil components of momentum are the components of momentum before the collision. Exprest your answers Phis, Ph., Phit and Pray in this speciffe order and sepersted by commas, in willogram meters per tecond. Vew Avallable Mint(o)
Give the final $x$ and $y$ components of the momentum of the falcon: $p_{FI,x}$ and $pFi,y$. Note that the final compononts of momentum are the components of momentum after the collision.
Give the final $x$ and $y$ components of the momentum of the raven: $paf,x$ and $pri,y$. Note that the final components of momentum ate the components of momentum after the collision. Since these quantities are unknown, you will need to use symbols to express the unknown terme. In particular, use the symbol $?$ for the angio betwoen the raven's direction of motion affer the colision and the positive $x$ axis, and $vRr$ for the raven's final speed. Express your answers pRr,x and phr, separated by commas using the varlables $?$, for the angle that the raver's direction of motion makes with the posittive $x$ axis, and vic, for the raven's final speed.
Which of the following statemients correctly applies to the system that you are analyzing? Only the $x$ component of total momenturn is conserved, and one can write the following expression: pri,x $+ppi,x=pvi,x+puc$, Only the y component of total momentum is conserved, and one can write the following exprestion: $P$ Ory $y+PRiy=PWiy+PRis$ Both the $x$ and the $y$ components of total momentum are conserved, and one can write the following expresion: Prix + Phax + Phy + Plig $=$ PFix + Pri,x + PFis + Pris. Both the $x$ and the $y$ components of total momentum are conserved, and one can wite the following expresuions: $Ph,x+PMLx=pPfx+ph=x$ and Pry + Pliy $=PFC+PM$ : None of the components of tolal momentum are conserved because gravily acts on the system and the system is not isolated.
By what angle $?$ did the falcon change the raven's direction of motion? Express your answer in degrees to two significant figures.
Despite being only about one.third the mass of the raven, the talcon successfully diveris the raven's directien of motion by a relativoly large angle. This is beceuse of the initial high speed of the takon. In fact, by what angle $?$ would the fakon change the raven's direction of motion if it were to hit the rwen at an lower speed, for example at a speed equal to the raven's initial speed? Assume that the raven has the same final speed as above and the falcon has the same final velocily as given in the introduction: Express your answer in degrees to two sigificant figures.

Given data:Mass of falcon mf=660g=0.

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