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

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SUMMARY

The discussion centers on calculating the height an elevator ascends given its mass, work done, and time taken. The elevator has a mass of 500 kg, performs 12000 J of work, and ascends 30 stories in 12 seconds. Key equations utilized include gravitational potential energy (Ep = mgh) and kinetic energy (Ek = 1/2 mv^2). The initial calculations yielded an incorrect height of 2.45 m, indicating a potential error in the problem statement.

PREREQUISITES
  • Understanding of gravitational potential energy (Ep = mgh)
  • Familiarity with kinetic energy equations (Ek = 1/2 mv^2)
  • Knowledge of work-energy principles (W = Fs)
  • Basic grasp of kinematic equations for motion analysis
NEXT STEPS
  • Review the principles of gravitational potential energy and its application in real-world scenarios
  • Study the relationship between work, force, and displacement in mechanical systems
  • Explore kinematic equations to analyze motion in vertical lifts
  • Investigate common errors in physics problems involving elevators and similar systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to work and energy in elevator systems.

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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.
 
Last edited:
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I agree with your answer.
Looks like there's something wrong with the question, a typo perhaps.
 

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