A jet fighter flying at 300 m/s (just below the speed of sound) makes a turn of radius 2.65km.
(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 490 m/s (supersonic). What is the radius 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.)