A small ball of mass m starts at a point A with speed v _ o and moves along a frictionless track AB as shown. The track BC has coefficient of friction . The ball comes to stop at C after travelling a distance L which is:

Step-by-step solution

Initial speed at point A, u=v₀ Speed at point B , v= ? aligned &v^2-u^2=2 g h &v^2=v₀^2+2 g h aligned Let ball travels distance ' S ' before coming to rest aligned &S= v^2 2 g = v₀^2+2 g h 2 g &= v₀^2 2 g + 2 g h 2 g = h + v₀^2 2 g aligned