While exploring a castle, xena the exterminator is spotted by a dragon who chases her down a hallway. xena runs into a room and attempts to swing the heavy door shut before the dragon gets her. the door is initially perpendicular to the wall, so it must be turned through 90∘ to close. the door has a height of 3.10 m and a width of 1.20 m , and its weight is 730 n . you can ignore the friction at the hinges.
if xena applies a force of 220 n at the edge of the door and perpendicular to it, how much time does it take her to close the door?