Alidless shoebox is made of five rectangular pieces of cardboard forming its base and four sides. its dimensions are: base length l = 48 cm, base width w = 25 cm, and side height h = 11 cm. the base lies in quadrant i of the xy-plane, with its length along the x-axis and its width along the y-axis. the box’s sides extend in the positive z-direction. the cardboard is thin and has an area mass density of s = 0.075 g/cm2.(a) what is the x-coordinate, in centimeters, of the center of mass of the shoebox's base?

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.