A particle slides from the top of a smooth hemispherical surface of radius R which is fixed on a horizontal surface. If it separates from the hemisphere at a height h from the horizontal surface, then the speed of the particle is

Step-by-step solution

Condition given in question is shown below. Let v = speed of particle when it separates from hemisphere. As there is no friction, loss of potential energy appears in form of kinetic energy of particle. ∴ m g ( R - h ) = 1 2 m v 2 ⇒ v = 2 g ( R - h ) 3