Four balls, each of mass m, are connected by four identical relaxed springs with spring constant k. The balls are simultaneously given equal initial speeds vdirected away from the center of symmetry of the system as shown in (Figure 1) .

a- As the balls reach their maximum displacement, their kinetic energy reaches zero why?

b- Each of the balls will move outwards to a maximum displacement d, from its initial position. Use geometry to find x, the distance each of the springs has stretched from its equilibrium position. (It may help to draw the initial and the final states of the system.)

Express your answer in terms of d.

c-

Find the maximum displacement d of any one of the balls from its initial position.

Express d in terms of some or all of the given quantities k, v, and m.

with steps