Physics

Problem

A particle slides inside a smooth bowl whose shape is given by the parabola

y = 0.5x^{2}

(where

y

is vertical height and

x

is horizontal radius in meters). The particle moves in a horizontal circle at a height

y = 2\,\text{m}

. Calculate the speed

v

of the particle required for this motion. (Take

g = 10\,\text{m/s}^{2}