What is the distance the middle spring is stretched from its equilibrium length?

Given a graph of Force vs. Position, where you have theforcefunction on the x-axis and the position function on they-axis, theinitial position is 0.0 and then it increases linearlyuntil itreaches 5.0meters where the force in (N) is about 12. Somyquestion is: This graph is for the force exerted by a spring asafunction of distance it is stretched from itsunstrechedlength.

a) What is the spring constant for this spring

b) What is the elastic PE if the spring is stretched 1.5 m fromitsequilibrium length

c) A Low friction cart of mass 5.0kg is attached to the spring,whenthe spring is stretched 1.5 m from its equilibrium length andthenthe cart is released what is the kinetic energy of the cartjust asthe spring passes through its equilibrium length? What isthevelocity of the cart at this position?

A mass m is attached to a spring which is held stretched a distance x by a force F, Fig. 6–45, and then released. The spring pulls the mass to the left, towards its natural equilibrium length. Assuming there is no friction, determine the speed of the mass m when the spring returns: (a) to its normal length (x=0); (b) to half its original extension ( ).

A mass attached to the end of spring is stretched a distance from equilibrium and released. At what distance from equilibrium will it have

a) Velocity equal to half its maximum velocity.

b) Acceleration equal to half its maximum acceleration.