4. A hollow sphere of radius 0.230 m, with rotational inertia I = 0.0948 kg m about a line %3D through its center of mass, rolls without slipping up a surface inclined at 14.3° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 17.0 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 0.500 m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its center of mass? [Answer: (a) 6.80 J (b) 2.75 m/s; (c) 13.7 J; (d) 2.47 m/s].

A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine par…

In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the d…