Question1

A hollow sphere of radius 0.15 m, with rotational inertia 1 : 0.040 kg'm2 about a line through its center of mass, rolls without slipping up a surface inclined at 30" to the horizontal. At a certain initial position, the sphere's total kinetic energy is 20 J.

(a) How much of this initial kinetic energy is rotational?

(b)What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 1.0 m up the incline from its initial position, what are-

(c) Its total kinetic energy and

(d) The speed of its center of mass?

Question2

Charge of 2.60 mu C is held fixed at the origin. A second charge of 2.60 mu C is free from rest at the position (1.25 {rm m}, 0.570 {rm m}).

If the mass of second charge is 2.94 g, what is its speed as it moves infinitely far from the origin? At what distance from origin does the second charge attain half speed it will have at infinity?