If the stretch in spring of force constant k is doubled from y to 2y find the ratio of final to initial force in the spring

If stretch in a spring of force constant k is doubled, calculate (a) ration of final to initial force in the spring. (b) ratio of elastic energies stored in the two cases. (c) work done in changing to the state of double stretch.

A spring of constant K is cut into two parts of length in the ratio 2 : 3 . The spring constant of large spring is

A spring of force constant k is cut into four equal parts. The force constant of each part will be

One-forth length of a spring of force constant K is cut away. The force constant of the remaining spring will be

A spring of force constant k and natural length 6l is broken in three parts of length ratio 1:2:3 find the spring constant of each part.

A solid uniform cylinder of mass M attached to a massless spring of force constant k is placed on a horizontal surface in such a way that cylinder can roll without slipping. If system is released from the stretched position of the spring, then the period will be-