The Correct Answer is $882$N can i please see the steps to do it$.$

A lever system can allow us to lift heavy objects with less force. Consider one lever to lift a $1000-$kg mass as drawn below. The lever is a large uniform steel beam with mass of $120$ kg and a moment of inertia of $251kg{m}^2$ about the fixed pivot point.

In this horizontal position, what applied force on the other end is needed to accelerate the $1000-kg$ mass upward at $1\mathrm{.}0\frac{m}{s^2}?($Hint: Due to the acceleration, the tension of the hanging mass is not simply $(1000kg)g.$ Also, the angular acceleration of the beam is not $0.)$

Bonus: Even though you are using substantially less force to lift the $1000-$kg mass, explain how energy is still conserved.

$882$ N

Bonus: Show me$.$ Consider these questions: $-$ Instead of comparing forces, how is the work done by the applied force and work required to lift related?

Since work is force$*$displacement$,$ how to the displacements compare for where the applied force pushes and where the mass is lifted? $-$ How does the center of mass of the beam also help to reduced the applied force?