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Both springs have spring constant k and are initially unstressed.

66. A particle is attached between two identical springs on a
horizontal frictionless table. Both springs have spring
constant k and are initially unstressed. (a) If the particle
is pulled a distance x along a direction perpendicular to
the initial configuration of the springs, as in Figure
P7.66, show that the force exerted on the particle by the
springs is
(b) Determine the amount of work done by this force
in moving the particle from x  A to x  0.
F 2kx
1  L
√x2  L2  i

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