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A mass m starts at rest at point A with the spring (spring constant k) compressed...

A mass m starts at rest at point A with the spring (spring constant k) compressed by a distance x. Mass m strikes and sticks to the mass M, and they slide together across a rough surface that provides a friction force f. Find out how far they slide from the original position of M before stopping.

Provide the strategy analysis of this problem but do not solve the problem! Identify which physical principles need to apply to obtain a correct solution to each part of this multi-step problem. For each of these steps, describe the important details for that physical process. You can provide a bullet list or write paragraphs. You can use equations in your explanation, but do not solve them!

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