1. A frictionless spring-mass system slides back and forth with simple harmonic motion on a horizontal surface. The mass is 5.4kg, and the spring constant is 3000.0N/m. The amplitude of the simple harmonic motion is 4.5cm. l m x = 0 a. What is the deflection of the spring when the mass is moving at a maximum speed? b. What is/(are) the deflection(s) of the spring when the mass is moving at a minimum speed? c. What acceleration will the mass experience when the spring is fully compressed? d. How much energy will be stored in the spring when it is extended by 4.5cm? e. What is the maximum speed that the mass reaches? f. How long will it take for the spring to go through a full cycle of extending and compressing to the same position?

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