Find the height, given work, time and mass (elevator)

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notverygood
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Homework Statement


An elevator with a mass of 500kg goes up 30 stories in 12 seconds doing 12000J of work. Find how high the elevator goes.

Homework Equations


I'm not exactly sure what equations are needed for this question but in class we have been using these equations.

Ek=1/2mv^2
Ep=mgh
W=Fs
P=Fv
totally Mechanical Energy = Ep + Ek
we have also been ignoring other losses.

and other standard kinematic equations to work out velocity, acceleration, distance etc.

The Attempt at a Solution


I would show my attempt at it but I've really got no clue and end up getting answers of like 2.45m which is obviously not the height of a 30 story building.

Sorry if this is a bit vague, I'm going off the top of my head.
 
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