A ball rolls in a bowl find the disantce it goes up to.

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The discussion focuses on a physics problem involving a sphere rolling in a bowl, where the goal is to determine how high it rolls up the opposite side after descending. Key equations include the conservation of potential energy (PE) and kinetic energy (KE), as well as the frictional force related to the sphere's motion. Participants are encouraged to share their thought processes to clarify any difficulties in solving the problem. The conversation highlights the importance of understanding the relationship between energy transformations and the effects of friction on motion. Overall, the thread emphasizes collaborative problem-solving in physics.
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Homework Statement



A picture shows a sphere of radius R, mass m, sliding from rest down a bowl. At the bottom of the bowl the mass begins rolling with μ(s). Find an expression for how high it rolls up the other side of the bowl(y).

Homework Equations



PE=KE
f(s)=F(normal)(μs)
PE=mgh
KE=1/2mv^2

The Attempt at a Solution


I attempted but it won't look pretty online
 
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Well, if you don't want to learn how to display it in tex code (which is perfectly understandable), at least tell us your thought process so we can figure out what you're having trouble with.
 
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