While exploring a castle, Exena the Exterminator is spotted by adragon who chases her down a hallway. Exena runs into a room andattempts to swing the heavy door shut before the dragon gets her.The door is initially perpendicular to the wall, so it must beturned through 90∘ to close. The door has a height of 3.00 m and awidth of 1.15 m , and its weight is 720 N . You can ignore thefriction at the hinges.
If Exena applies a force of 250 N at the edge of the door andperpendicular to it, how much time does it take her to close thedoor?
Use 9.80 m/s2 for the acceleration due to gravity.