Particle in a Cone

A particle describes a horizontal circle of radius r r on the smooth surface of an inverted cone as shown. The height of the plane of the circle above vertex is h h .

What should the speed of the particle be?

Notation: g g denotes the acceleration due to gravity.

g r \sqrt{gr} 2 g r \sqrt{2gr} 2 g h \sqrt{2gh} g h \sqrt{gh}

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