What is the Roller Coaster Problem Homework Statement?

AI Thread Summary
The Roller Coaster Problem involves calculating the velocity at the second peak using conservation of energy, specifically the relationship between gravitational potential energy and kinetic energy. The equations ΔU_g = mgΔh and K_E = -ΔU_g = 1/2 mv^2 are essential for solving the problem. To determine the apparent weight of a passenger, the circular motion equation F_net = mv^2/r is applied. There is a noted issue with mixed units, as heights are in meters while weight is in pounds, highlighting the importance of unit conversions. Proper understanding of these concepts is crucial for successfully solving the problem.
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Homework Statement



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Homework Equations





The Attempt at a Solution


I am completely stuck on this. I thought I would use W=F=ma, but that wouldn't take the height into account. Any help would be greatly appreciated
 
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To find the velocity at the second peak, you can use conservation of energy:

\displaystyle ΔU_g = mgΔh
Ug is potential gravitational energy

\displaystyle K_E = -ΔU_g = \frac{1}{2} mv^2And to find the apparent weight of the passenger, you can use the circular motion equation:

\displaystyle F_{net} = \frac{mv^2}{r}

Hope that helps.
 
Yikes the heights are in meters but the weight is given in pounds. No wonder why they stopped teaching mixed units in the States. Watch your unit conversions, please.
 
Thank you!
 
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