Hello, I keep getting different solutions by different tutors when I submit this problem in parts; so you can see the entire problem, I have sent the question and its sub-parts in its entirety. Thank you so much for your help. **Problem Overview:**A mass of 0.12 kg is sliding on a frictionless horizontal surface when it comes to a horizontal spring with Hooke's constant \( k = 90 \, \text{N/m} \). The mass is moving at 15 m/s. Several physics problems are posed related to the mass and spring system:1. **Draw a Pictorial Representation of the Problem.**2. **List Given Information, and Choose a Coordinate System:** - What value of "x" will you assign to the equilibrium position of the spring? - Is the spring at equilibrium before the mass hits it?3. **Equation or Law for Maximum Compression Distance:** - Determine which equations from Chapter 7 or Chapter 16 spring material are applicable.4. **Solve Maximum Compression Distance:** - Set up and solve using the appropriate equation.5. **Equation or Law for Acceleration:** - Identify equations applicable to solve for acceleration at maximum compression.6. **Solve for Acceleration at Maximum Compression:** - Set up and solve using chosen law/equation.7. **Equation or Law for Compression Time:** - Use relevant material (Note: Chapter 7 is not sufficient for this part).8. **Solve for the Time to Maximum Compression:** - Set up and solve using the appropriate method based on Chapter 16 material. **Further Considerations:**- The problem involves kinetic and potential energy considerations for solving the maximum compression.- A systematic approach using equations of motion and forces in physics, considering an ideal spring system, is vital for proper analysis.

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1) Draw a pictorial representation of the problem. 2) List given information, and choose a coordinate system. What value of "x" will you assign to the equilibrium position of the spring? Is the spring at equilibrium before the mass hits it? 3) What equation or law will you use to solve for maximum compression distance? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 4) Set up and solve for maximum compression distance. 5) What equation or law will you use to solve for acceleration? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 6) Set up and solve for acceleration at maximum compression. 7) What equation or law will you use to solve for compression time? (Hint: This part of the problem cannot be solved using Chapter 7 material.) 8) Set up and solve for the time to maximum compression.

1) Draw a pictorial representation of the problem. 2) List given information, and choose a coordinate system. What value of "x" will you assign to the equilibrium position of the spring? Is the spring at equilibrium before the mass hits it? 3) What equation or law will you use to solve for maximum compression distance? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 4) Set up and solve for maximum compression distance. 5) What equation or law will you use to solve for acceleration? (There is more than on correct answer, as you may use Chapter 7 or Chapter 16 spring material.) 6) Set up and solve for acceleration at maximum compression. 7) What equation or law will you use to solve for compression time? (Hint: This part of the problem cannot be solved using Chapter 7 material.) 8) Set up and solve for the time to maximum compression.