Question

a body is resting on top of a hemispherical mound of ice of radius r if ice is frictionless then what minimum horizontal velocity must must be imparted to the body so that it leaves the mould without sliding over it?

Answer 1

Explanation:

Given A body is resting on top of a hemispherical mound of ice of radius r if ice is friction less then what minimum horizontal velocity must must be imparted to the body so that it leaves the mould without sliding over it?

We know that range = speed x time

            So h = 1/2 gt^2

             So r = 1/2 gt^2

          Or t = √2r / g

Now Range = u x t

                   = u x √2r / g  

        Now u >= √gr / 2

Answer 2

Answer:√gR

Explanation:

Make the FBD of the diagram

On equating the forces, we get

N=mg-mv²/r

(Since frictionless body should not move, N is 0)

Thus,

mv²/r=mg

From the above equation we get v=√gr