Roller Coaster Energy Calculations

AI Thread Summary
The discussion revolves around a challenging roller coaster energy calculation problem that has caused confusion for the poster. They have attempted to solve it but reached a dead end and are seeking guidance. Key calculations include determining the kinetic energy (KE) at the start and at the bottom of the coaster, as well as applying centripetal acceleration for the curved sections. The poster emphasizes the importance of using SI units in the calculations. Assistance from others in clarifying these concepts is requested.
sroy1313
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The attached problem has clearly confused me. I tried solving it, but I get to a point where I can't go any further. If someone could point me in the right direction I appreciate it. Also the calculations topwards the bottom of the page are from me attempting to solve.

Thanks in advance



View attachment Problem #5.pdf
 
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Use SI units
Calculate KE at start
Calculate Ke at bottom
Use centripetal acceleration for the curved part
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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