Get the acceleration of the ball using the approximation (1 + a)^α = 1 + αa

On a table without friction, a ball of mass M is two springs aligned, spring constant k and natural length L0, fixed to the ends of the table. Then, the ball is displaced a distance x in the direction perpendicular to the initial line of the springs, as shown in the figure, and is then released. Get the acceleration of the ball using the approximation (1 + a)^α = 1 + αa

-kx³/M(L0)² -kx²/2M(L0) -kx³/2M(L0)² -kx²/M(L0)

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