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A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 49.2 J and a maximum displacement from equilibrium of 0.280 m. (a) What is the spring constant? N/m (b) What is the kinetic energy of the system at the equilibrium point? J (c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg (d) What is the speed of the block when its displacement is 0.160 m? m/s (e) Find the kinetic energy of the block at x = 0.160 m. J (f) Find the potential energy stored in the spring when x = 0.160 m. J (g) Suppose the same system is released from rest at x = 0.280 m on a rough surface so that it loses 16.3 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?

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