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If the doorknob were moved to the middle of the door, it would take twice as much force to open it than if it were at the edge of the door.

With the mass of the door being equal. Moment = the force to open the door times the distance to the center of the hinges. If the distance were cut in half it would take twice the force to keep the equation true.

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Q: How would the force needed to open a door change if you put the handle in the middle of the door?
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