A particle is attached between twoA 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 a long a direction perpendicular to the initial configuration of the springs, as the below figure show that the force exerted by the springs on the particle is F=-2kx(1-L/√x²+L²)i

(b) Determine the amount of work done by the force in moving the particle from x=A to x=0​