Question

A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E...

A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 39.0 J and a maximum displacement from equilibrium of 0.260 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 = 0.260 m on a rough surface so that it loses 14.9 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant? ___m

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