A solid cylinder of mass 10 kg and radius 0.5 meters is rolling down a hill without slipping. If the cylinder starts from rest at a height of 10 meters, calculate its translational and rotational kinetic energy at the bottom of the hill. • In a pulley system, a 50 kg block is lifted at a constant velocity by a rope. If the block is lifted 10 meters, how much work is done by the tension in the rope? Is the work done positive or negative?

3) The figure below illustrates a skier who is skiing on a large frictionless spherical ball of snow. The skier can be treated as a point-like object. The skier starts at the top of the ball with very little speed and picks up speed while traveling along the surface of the snow. During this time, the only forces acting on the skier are the gravitational force applied by the Earth and the normal force applied by the snow. At the moment the radial line extending from the skier to the center of the ball defines an angle a with respect to a vertical line, the skier is about to lose contact with the ball. Determine the value of a.

We know from the reading that it is possible to move the same object two different distances and still do the same amount of work. Let's consider an example in which Jane pushes a block of ice up an incline while Kip lift the same block of ice vertically to the top of the same incline. See the figure below. (look at picture) We will assume that there is no friction between the surface of the incline and the block of ice. Both of these situations will require the same amount of work and that the result of lifting the ice block to some height imparts potential energy to the ice. In this activity, we will make various calculation to help us better understand the relationship between work and potential energy and the idea of conservation of energy. For this activity we will assume that the mass of the ice block is 5.6 kg and the vertical height of the incline is 2 m. This is the vertical distance that Kip must lift the block of ice. We will assume that the acceleration due to gravity is 10…

Two forces are used to move a block 2 meters across a level surface shown in the following figure. Is the work done by force A greater than, equal to or less than the work done by force B? (Note: the force vectors are drawn to scale)    Source: Physics: A Conceptual Worldview; 7th edition