The system in the figure consists of four identical springs of spring constant k = 50 N/m and negligible length at rest. The four spring ends are constrained in a horizontal plane. The other ends are connected to a material point of mass m = 50 g. With reference to the Cartesian coordinate system shown in the figure, the four endpoints are located at the points P₁ = (L, 0, 0), P₂ = (0, L, 0), P₁ = (-L, 0, 0) and P, = (0, -L, 0), with L = 20 cm. The system is in the absence of gravity. a) The material point is initially stationary at the point P(0, 0, L). Calculate the modulus of the velocity when it passes through the origin.​