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A 9 kg mass slides to the right on a surface having a coefficient of friction 0.34. The mass has a speed of 4 m/s when contact is made with a spring that has a spring constant 159 N/m. the mass comes to rest after the spring has been compressed a distance d. The mass is then forced toward the left by the spring and continues to move in that direction beyond the outstretched position. Finally the mass comes to rest a distance D to the left of the unstretched spring. The acceleration of gravity is 9.8 m/s^2.

Part 1) Find the compressed distance d. Answer in units of m

Part 2) Find the speed vfinal at the spring’s unstretched position when the mass is moving to the left. Answer in units of m/s

Part 3) Find the distance D where the mass comes to rest. Answer in units of m.