Mastering physics help - rail gun

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The discussion focuses on solving a physics problem related to a rail gun, specifically regarding the use of energy methods due to non-constant acceleration. The user seeks clarification on the potential energy formula applicable in this scenario. They mention the formula for the force on a current-carrying wire in a magnetic field, F=BIL, which they used to determine acceleration but are unsure how it relates to the magnetic field strength (B). Additionally, there is a question about the type of current involved, which is supplied by a capacitor. The conversation emphasizes the need for understanding the relationship between current, magnetic fields, and energy in this context.
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I think i need to use energy methods for this because the acceleration is not constant..
trouble is I don't know the formula for the potential energy in cases like this.

Thanks for any help.
 

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What's the force on a current-carrying wire in a magnetic field? (There is a formula for it.)
 
F=BIL that's how i found the acceleration.. but i don't see how that helps with b??
 
how was this current produced in the first place? What kind of current are you dealing with?
 
I don't know what you mean? it was supplied by a cap if that helps?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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