The image above shows two opposite forces acting on a rope, what can we say is true about the affect of the forces on the rope? a) it cannot be determined without knowing which man is stronger. b) the forces are not balanced, because one man is standing taller than the other. c) the forces are balanced. but, the forces acting on the rope have increased and the rope’s motion is affected. d) the forces are balanced. thus, there is no change in forces acting on the rope and the rope’s motion is not affected.

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.