wrigley field is one of the only three original major-league baseball fields that are still in use today. suppose you want to drive to wrigley field from the corner of 55th street and woodlawn avenue, about 14 miles south of wrigley field. although not the fastest or most direct route, the most straightforward way to reach wrigley field is to drive 4.1 km west on 55th street to halsted street, then turn north and drive 17.3 km on halsted until you reach clark street. turning on clark, you will reach wrigley field after travelling 1.2 km at an angle of 36° west of north. what is your resultant displacement?

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.