A sphere(mass m) is sliding on a frictionless surface until it meets a surface with friction(coefficient mu). This causes the sphere to start rotating, while it still slides. Calculate the speed of the sphere while it is both sliding and rotating on the surface with friction.
The Attempt at a Solution
My first attempt was just to consider a constant frictional force acting on the sphere, and hence the speed is
But then I heard that I also had to take into account that the sphere starts to rotate, and then the above is incorrect.
I'd say that the frictional force on the sphere is the same no matter how fast it is rotating. Can anyone help me?