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A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 39.1 J and a maximum displacement from equilibrium of 0.222 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.
(f) Find the potential energy stored in the spring when x = 0.160 m.
(g) Suppose the same system is released from rest at x = 0.222 m on a rough surface so that it loses 12.8 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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