Calculating Work and Potential Energy with Gravity at 2.789 m/s^2 Acceleration"

AI Thread Summary
The discussion centers on calculating work done by gravity and the change in potential energy for a mass falling at an acceleration of 2.789 m/s². It is clarified that potential energy should be calculated using the standard gravitational acceleration of 9.8 m/s², regardless of the object's falling acceleration. The relationship between work done by gravity and potential energy change is emphasized, noting that work done by conservative forces equals the negative change in potential energy. The confusion arises from the distinction between the acceleration of the object and the gravitational constant used in calculations. Ultimately, potential energy is determined by the force of gravity acting over a distance, not the object's specific acceleration.
Aldwyn
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1. ok don't know if this is the right section but here i go. The being asked is compare the work done by gravity to the change in potential energy? There is a system, but thas not important what is important is that the mass is falling at an acceleration of 2.789 m/s squared.



2. So i found the change in potential by doing mgh final - mga initial. i used the acceleration of 2.789 instead of 9.8 as g though. The when i attempted to find the work done by gravity i don't know if i should use 2.789 or 9.8.



3. Might sound like a jumple but i have no concrete answer to go upon so this is the best i could do. Basically i want to know which accelerations i should be using since its all jumbled in my head. I am also aware that W done by the conservative force (gravity in this case) is equal to the negative potential chnage. I just need help getting there
 
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2) your assumptions were incorrect. mgh is always 9.8 unless you are on a different planet. i would assume that for this problem you just have air drag or something simmilar.
 
so eventhough the mass is falling at a rate of 2.789 m/s squared i must assume that change in potential energy = mgh final - mgh initial (m being mass, g being 9.8, and h being the final and intial height).
 
the acceleration due to gravity is always 9.8 m/s^2, unless you're not on earth. mgh is a fancy way of calculating work by separating force into m and a, which is g, and distance into h, which is the distance parallel to your object, and the one that you should me worrying about.
 
i suppose just seems weird that the potential energy is calculated using gravity instead of the falling acceleration.
 
potential energy is the potential the object has. the force upon it times the distance it can move.
 
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