Physics

Problem

A particle is given an initial horizontal velocity

v_{0}

at the top of a smooth sphere of radius

R = 5\,\text{m}

. If the particle leaves the surface of the sphere at an angle of

37^{\circ}

with the vertical, calculate the value of

v_{0}

. (Take

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

\cos 37^{\circ} = 0.8

)