A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.50 km. (a) What is its centripetal acceleration in gs? (b) Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 615 m/s (supersonic). What is the radius, in km, of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)

Physics for Scientists and Engineers with Modern Physics
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Chapter6: Circular Motion And Other Applications Of Newton's Laws
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A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.50 km.
 
(a)
What is its centripetal acceleration in gs?
 
 
(b)
Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 615 m/s (supersonic). What is the radius, in km, of his turn? (This must be short-lived because fighter planes can only briefly endure such large accelerations without serious damage, and the pilot will soon black out at 10 gs.)
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