Question

A farmer seeking safety from an enraged bull goes through an open gate in a fence...

A farmer seeking safety from an enraged bull goes through an open gate in a fence and closes the gate behind him. The gate is initially standing open at an angle of 90 degress to the fence. The gate has a moment of inertia of 2850 kg-m^2. The farmer exerts a force of 210 N at a point 3.5m from the hinge. As the gate swings shut, the farmer applies the force in the most advantageous way.
What is the translational velocity of the gate at the point the farmer pushes at the time it closes?

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