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Problem 3 (20 points) A mass of 0.6 kg is attached to a horizontal spring whose stiffness is 13 N/m. Friction is negligible. At t = 0 s the spring has

a stretch of 0.35 m and the mass has a speed of 3 m/s. a) (5 points) Find the initial kinetic energy of the mass. K₁ = [J] b) (5 points) Find the initial energy stored in the spring. U₁ = [J] c) (5 points) What is the amplitude (maximum stretch) of the oscillation? [m] 8mar. d) (5 points) What is the maximum speed reached by the mass? Umar. [m/s]

Fig: 1