A $1000$ kg freight elevator used for construction of the Sears Tower can carry a load of $4000$ kg up and down the tower. It can travel up and down at a max speed of $4$ m$/$s$.$ If the top of the building is at $530$m above the ground:

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Part $1.$ How long does it take this elevator to reach the top floor?

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Part $2.$ What is the Power rating of the engine in the Tower?

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Part $3.$ What is the Potential Energy of the Elevator setting at the top?

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Part $4.$ If the cable snaps and the Elevator begins to freely fall, what is the Kinetic and Potential energy of the Elevator:

At the mid$-$point of the buildings height?

Right before striking the ground?

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Part $5.$ What is the max velocity the elevator achieves as it falls? And how long did it take until it hit the ground?