A security guard manually operates a heavy hinged boom barrier at a parking lot entrance.
State the equation linking work done, force, and distance moved.
The guard pushes the barrier arm with a horizontal force of 15 N15\text{ N}15 N through a distance of 14 m14\text{ m}14 m to close it. Calculate the work done on the barrier by the guard.
How much energy is transferred to the barrier?
When released, the heavy boom barrier arm falls from its vertical open position to a horizontal closed position. Explain why the arm loses gravitational potential energy when it falls.
The guard starts to lift the barrier arm again by pulling vertically upwards on the far end with a force FFF. The total weight of the barrier arm is 400 N400\text{ N}400 N.

State the equation linking moment, force, and perpendicular distance from the pivot.
Calculate the force FFF that the guard must apply to the end of the barrier arm to start raising it.