Solving a Work/Energy Physics Problem: Troubleshooting and Solution

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The discussion revolves around troubleshooting a physics problem related to work and energy. The user is uncertain about their gravitational energy term, initially using "mgx" instead of the correct "mgh." Clarifications are made regarding the definitions of variables, specifically how to express height (h) in terms of distance (x). After recalculating, the user finds their value for x closely aligns with the book's answer. The conversation emphasizes the importance of correctly setting up equations for gravitational energy and frictional work.
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Hi Jason03,

The term you have for the gravitational energy is not correct. Do you see why?

(I think you might also want to recalculate the frictional work term.)
 
For gravitational energy do you mean the mgh on the right side of the equation?...I have mgx which could be a problem but I am not sure.



And for frictional work U 1-2 = -Friction*distance

so I did Kinetic Friction * Normal Force * distance x
 
Jason03 said:
For gravitational energy do you mean the mgh on the right side of the equation?...I have mgx which could be a problem but I am not sure.

What is the h in that equation, and what does the x you have represent? How can you write h in terms of x?
 
i just did h = x sin 25 and I came up with x = 2.3 and the book has x = 2.28

so now i have to figure the velocity and total frictional work
 
got it all figured out...thanks for the help!
 
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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