The Dread Pirate Roberts is trying to fire a 12 kg cannon ball from a 250 kg cannon. In order to prevent the cannon from recoiling across the deck of the ship, he attaches a large spring behind the cannon, with the spring's other end braced firmly against the ship's frame. When the cannon is fired, the ball is launched forward at 90 kilometers per hour. Subsequently, the cannon pushes backwards and compresses the spring by 60 cm. What is the spring constant k of the spring?

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