A ring of mass m = 0.2kg is attached to one end of a spring of force constant 
k=100 N/m and natural length l = 10 cm. The ring is constrained to move on a rough vertical wire in the shape of an ellipse of major axis 24cm and minor axis 16cm with its centre at origin (O). Initially the ring is at top point A with other end of the spring being fixed to the origin. Normal reaction of the wire on the ring is zero at A. The ring is given a horizontal velocity $V=10m{s}^{-1}$ towards right at A so that it just reaches point B. Find the work done against friction (in J) on the ring as it moves from A to B.  $(g=10m/s^2)$