Determine the temperature of the concorde''s skin in flight, Physics

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The supersonic airliner Concorde is 62.1 m long when sitting on the ground on a typical(15degreesC) day. It is primarily made of aluminum. In flight at twice the speed of sound, friction with the air warms the Concorde's skin and causes the aircraft to lengthen by 25cm. (The passenger cabin is on rollers, and the airplane expands around the passengers.) What is the temperature of the Concorde's skin in flight?

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