Question

The mass of a pigeon hawk is twice that of the pigeons it hunts. Suppose a pigeon is gliding north at a speed of ?P=18.9 m/s when a hawk swoops down, grabs the pigeon, and flies off, as shown in the figure. The hawk was flying north at a speed of ?H=37.0 m/s, at an angle ?=45∘ below the horizontal at the instant of the attack. What is the birds' final speed ?f just after the attack

The mass of a pigeon hawk is twice that of the pigeons it Нawk hunts. Suppose a pigeon is gliding north at a speed of Up 18.9 m/s when a hawk swoops down, grabs the pigeon, and flies off, as shown in the figure. The hawk was flying up north at a speed of vH = 37.0 m/s, at an angle 0 45 below the horizontal at the instant of the attack VH north What is the birds' final speed vr just after the attack? m/s Pigeon What is the angle 0f below the horizontal of the final velocity vector of the birds just after the attack? Ө 3

Answer 1

in Ho >VH Let sag, mass of figeon is m x mass of Hawk is am Now, taking the component of Hawki verosty 2 Horizontal y vertical tirir. Wiren Vy = 31 m/secs VHX = 31 cosus [VMX = 26.163 ↑ J x Vay = 31 sinus (-f) | VH1 - - 26/ 3 / and velocity of pigeon (ip) = 1819 Å Applying Conservation of Momentum along x 2 y dirin. X -dirl" : (2 m) (Vrex ) +m Vp = (@m+m) Vx VX = (V NX 15+ VP = 23.742 mecs - 26/633 the gute orse t please am very = (@m+m ) Vy ry = 2/3 vry = -1 7. 442 3 Pesultant welouty (VF) = TVxZtvg-=129046 m/sec. I Ans - and p = tin ( 124 ) = 136.300] betow the horizonti Ans