Determine the stopping location of the prize wheel. At this moment it is centered on the number 2. It is spinning with an energy of 29.04 J. It is slowing at a rate of 1.400 rad/s/s. The disk is made from a wood with a density of 409.0 kg/m^3. The disk is 26.0 mm thick and has a radius of 33.0 cm. Predict the angular displacement it will go through and predict the number on which the wheel will stop. To be safe, you will also get one number the right and to the left of the number you chose. The wheel will spin clockwise.

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.