An object is released from rest at a height h. For the object to go around the loop (of radius r) what is the smallest possible value of h? Assume the roller coaster track is frictionless.
2026-04-11 18:04:17.1775930657
Roller Coaster Physics/Math CAP contest question?
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for complete loop, $v=\sqrt{5gr}$
simply applying Conservation of energy, $$mgh=\frac{1}{2}mv^2$$
we get $v=\frac{5}{2}gr$.