If a system consists of a structure less particle in a fixed-volume container and has only two independent properties P1 and P2 , indicate the type of change of state described by the specifications that follow, that is, indicate whether there is a change of state, whether it is induced or spontaneous, and whether or not the system is experiencing interactions.

(a) the values of properties P1 and P2 are changing in time while two identical weights connected to the particle via two independent mechanisms are moving, one rising and the other falling at the same speed. the particle is connected to no other system in the environment.

(b) Same as in part (a), except that the values of properties P1 and P2 do not change in time.

(c)  Same as part (a), except that each weight has zero speed.