Protecting his nest, a 600-g peregrine falcon rams a marauding 1.5-kg raven in midair. the falcon is moving at 20.0 m/s, and the raven at 9.00 m/s at the moment of impact. the falcon strikes the raven at right angles to the raven's direction of flight and rebounds straight back with a speed of 5.00 m/s. by what angle does the impact change the raven's direction of motion?

Question

Physics

Laci Taylor

6 January, 23:06

Protecting his nest, a 600-g peregrine falcon rams a marauding 1.5-kg raven in midair. the falcon is moving at 20.0 m/s, and the raven at 9.00 m/s at the moment of impact. the falcon strikes the raven at right angles to the raven's direction of flight and rebounds straight back with a speed of 5.00 m/s. by what angle does the impact change the raven's direction of motion?

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Kolton · Answer 1

In the vertical direction there is no change of momentum.

Momentum in vertical = 1.5 * 9 = 13.5

Speed in vertical = 9 m/s

Momentum of Raven in x + momentum of falcon = initial momentum in x

=> Mx + 600*5 = 600*20

=> Mx = 600*15

=> Vx = 6000

Vy = 9

=> tanθ = 0.6 kg/9 = 0.066667

=> θ = 48.0128 degrees