A particle of mass m is kept on the top of a smooth sphere of radius LR. It is given a sharp impulse whichimparts it a horizontal speed v. a. find thenormal force between the sphere and the particle just after the impulse. B. What should be the minimum value of v for which the particle does not slip on the sphere? c. Assuming the velocity v to be half the minimum calculated in part, d. find teh angle made by the radius through the particle with the vertical when it leaves the sphere.