A professor's office door is (0.91 mathrm{~m}) wide, (2.0 mathrm{~m}) high, and (4.0 mathrm{~cm}) thick; has a

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A professor's office door is \(0.91 \mathrm{~m}\) wide, \(2.0 \mathrm{~m}\) high, and \(4.0 \mathrm{~cm}\) thick; has a mass of \(25 \mathrm{~kg}\); and pivots on frictionless hinges. A "door closer" is attached to the door and the top of the door frame. When the door is open and at rest, the door closer exerts a torque of \(5.2 \mathrm{~N} \cdot \mathrm{m}\). What is the least force that you need to apply to the door to hold it open?

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