posted by bill .
if the initial velocity is .05 m/s and its final is 1.3 m/s then how much energy is lost to friction
First of all, you need the mass of the object as well as the initial and final velocities.
Second, the speed is increasing, so kinetic energy is increasing. Some force such as gravity must have been applied. I'd need to know how much potential energy was lost to determine how much energy was lost due to friction.
You have not provided all the facts necessary to answer the question.