A large block with a mass of 8.5 kg slides along a horizontal surface without friction. The block runs into a horizontal spring with a spring constant of 260 N/m and compresses the spring by 50 cm before coming to a stop. (a) How fast is the block moving when it just hit the spring? (b) What is the potential energy of the spring, the kinetic energy of the block, and the total mechanical energy of the system when the block is halfway to its stopping position?

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