Solving Bowling Ball Slipping Problem with Conservation of Total Energy

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a bowling ball is slipping woth initial velocity of 5m/s with coeficient of friction being .08.
how far does it travel before it started to slip?

i used conservation of total energy and accounted for the energy lost in friction until it starts to roll.

both i and my teacher got double the actual answer of the problem.

i think i need to know the force that keeps the ball from rolling for the duration of x.
but I am not completely sure, does anyone know how to use conservatin of total energy?
 
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the answer is 7.8 meters if anyone was wondering
 
i used V=Rw to solve it correctly, you should get 7.8m

but i wnat to know how to use conservbation of total energy because it makes conceptual sense but it does not provide the correct answer.
 
(edit to the first post by me)

*a bowling ball is sliding without rolling with initial velocity of 5m/s and coeficient of friction being .08.
how far does it travel before it starts to roll?*

that should make more sense