jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.20 km. The centripetal acceleration in gs is 4.17. Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 535 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.)

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Motion In Two Dimensions
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Problem 25P: As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g,...
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A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.20 km. The centripetal acceleration in gs is 4.17. Suppose the pilot makes an emergency turn to avoid an approaching missile, subjecting himself to a centripetal acceleration of 10 gs, while flying at 535 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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