Work and Electrostatics - a bit of Clarification, please

AI Thread Summary
To move a 1000 kg box up a 30-degree frictionless ramp using electrostatics, equal and opposite charges are required at the ramp's top and on the box. The user solved for the necessary charge magnitude but is uncertain about the initial energy of the box, questioning whether it is negative or zero. There is confusion regarding the relationship between the work done to separate charges and the initial energy, with an initial calculation yielding -24.5 kJ for energy. The user seeks clarification on how to define potential energy zeros and the force needed to push the box by hand. Overall, the discussion highlights the complexities of applying electrostatic principles to mechanical work in this scenario.
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Work and Electrostatics - Help!

Homework Statement



I need to place equal and oppositve charges on a piano and at the top of a 5.0 meter ramp in order to move a 1000 kg box up a 30 degree frictionless ramp. The box has a charge of +Q and the top has a -Q.

A) What magnitude charges do I need to keep the box at the bottom and not moving?

B) What is the initial energy of the box?

*Why is it negative?

*Or is it zero?


C) How much work does it take to separate the charges from 5 m to infinity?

D) How much work does it take to push the box by hand?
Work = Fd
How do I find the force that's necessary?

Homework Equations





The Attempt at a Solution



A) Solved

I solved B, but I just wanted to check that B and C, the answers should be equal? I got an answer of -24.5 kJ for B and is C 24.5 kJ (positive?)

* Or is the answer to B actually zero? I'm told to "make sure" I define my zeros for potential energy. And I found an explanation on handysolver.com (i don't think it's a trustworthy site) that says that B is zero because the zeros were all there, but doesn't the +Q charge still exert a force?



Thanks a lot in advance, I realize my work is a little scatterbrained...
 
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*But I don't understand the "then" part - can someone explain how to transform the equation?

He set the Fg=Fe and solved for Q
 
L outside the radical is the same as L^2 inside the radical...
 
And is B zero? I guess someone else had the exact same problem, because I found a solution:

http://handysolver.com/problemsandso...problem_id=418

that says that B is zero, but I really don't think so.
 
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