1.In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fa

Question

1.In a vertical dive, a peregrine falcon can accelerate at 0.6 times the free-fall acceleration g (that is, at 0.6g) in reaching a speed of about 102 m/s. If a falcon pulls out of a dive into a circular arc at this speed and can sustain a radial acceleration of 0.6g, what is the radius R of the turn?

2. A car traveling at 27.0 m/s hits a bridge abutment. A passenger in the car, who has a mass of 56.0 kg, moves forward a distance of 60.5 cm while being brought to rest by an inflated air bag. Assuming that the force that stops the passenger is constant, what is the magnitude F of this force?

Explanation / Answer

1. GIVEN IN Vertical dive

a = 0.6g

v = 102 m/s

Radius of turn = R

a. V^2/r - g = a

R = v^2/(g + a) = v^2/g(1 + 0.6)

R = 662.8440366 m

2. u = 27 m/s

m = 56 kg

d = 60.5 cm

force = F

hence from conservation fo energy

F*d = 0.5mu^2

F = mu^2/2d = 56*26^2/2*0.605 = 31285.9504132 N

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