Solve a challenging physics problem involving a heavy crate falling onto a spring in this 15-minute video from Dot Physics. Calculate the crate's speed before impact and determine the spring constant as you analyze the motion of a 1500 kg crate dropping 1.8 m onto a heavy-duty spring, which compresses 53 cm upon impact. Apply principles of energy conservation, kinematics, and spring mechanics to tackle this real-world scenario and enhance your problem-solving skills in classical mechanics.