An elastic spring of spring constant k is stretched by an amount x from natural length position. Show that its potential energy is `1/2 kx^2`

An elastic spring of length L and spring constant K is stretched by a length x. It is then again stretched to a length y. The work done in the second case will be

When a spring is stretched by an amount 3 cm , the potential energy stored in the spring is U. if the spring is stretched by an amount 6 cm its stored potential energy is

An elastic spring of length L and of force constant k is stretched to increase its length by an amount x. The spring is further stretched to elongate it by y. The amount of work done in stretching the spring in the second case ( x and y are very small) is

A long spring is stretched by 2 cm. its potential energy is U . If the spring is stretched by 10 cm , its potential energy would be

A spring of spring constant 5xx10^3 N//m is stretched initially by 5cm from the unstretched position. Calculate the work required to stretch it further by another 5cm.

A hanging wire of length L is elongated by an amount l with a load M attached to its free end. Prove that the elastic potential energy stored in the wire is 1/2Mgl .