Potential energy algebra problem

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SUMMARY

The potential energy (PE) of a mass (m) at height (h) is defined by the equation PE = m * g * h, where g represents the acceleration due to gravity. To solve for height (h), one must isolate it in the equation. If the object is stationary, h can be isolated by dividing both sides of the equation by mg, resulting in h = PE / (m * g). If the object is in motion, one can set gravitational potential energy (GPE) equal to kinetic energy (KE) and isolate h accordingly.

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Homework Statement



The equation for potential energy, PE, of a mass m and at height h, where the acceleration due to gravity is g, is PE =m*g*h. Solve for h.

* = multiply

Homework Equations


If someone could please tell me how to work it out and not tell me the answer i'd be very appreciative as i joined this forum to learn and not to get answers.

The Attempt at a Solution


Have no idea how to answer.

Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited:
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There's a couple ways you could do this. Is the object moving at all or is it standing still?


IF:

It is moving, set GPE equal to KE and isolate h.

It is stationary, just isolate h in the equation PE = mgh
 
To solve for h, you can divide both sides of the equation by mg, which will cancel out the mg on the right side and leave you with h.
 

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