Peregrine falcons are the fastest birds in the world, reaching max- imum speeds of up to 320 km/h (88 m/s) during a hunting stoop. in one such episode, a 600-g falcon traveling at its top speed hits a 458-g pigeon flying east. the falcon, also flying directly east hits the pigeon from directly behind. the falcon grabs the pigeon with its talons and the pair travels together at a speed of 65 m/s. what is the energy lost in the collision? (hint: the total initial kinetic energy is not just the falcon's kinetic energy; assume that the height of the birds does not change during the collision)