A small mass of 3.5kg is connected to a horizontal spring. The mass oscillates with a period of .25 seconds. (a) What is the value of the spring constant k? (b) If the max amplitude of the mass is 10 cm, what is the total energy in the system? (c) What is the max velocity of the mass at equilibrium?

An ideal spring hangs from the ceiling. A 1.75 kg mass is hung from the spring, stretching the spring a distance d=0.0865 m from its original length when it reaches equilibrium. The mass is then lifted up a distance L=0.0295 m from the equilibrium position and released. What is the kinetic energy of the mass at the instant it passes back through the equilibrium position?

A horizontal spring-mass system has low friction, spring stiffness 230 N/m, and mass 0.5 kg. The system is released with an initial compression of the spring of 12 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion? -0.013 x m (b) What is the maximum speed during the motion? 105 x m/s (c) Now suppose that there is energy dissipation of 0.03 J per cycle of the spring-mass system. What is the average power input in watts required to maintain a steady oscillation? 0.44 X watt

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