What equation would I use for this?

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The discussion centers on solving a physics problem related to energy conservation. Participants suggest using the law of conservation of energy to approach the problem. Identifying the three forces acting on the sled is highlighted as a crucial step. The conversation also prompts consideration of the final velocity of the sled at its highest point. Understanding these concepts is essential for solving the energy problem effectively.
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http://i892.photobucket.com/albums/ac127/cardboardreaction/phys.jpg

I need to just know how to do it, not the answer. :)
 
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physicsgirl11 said:
http://i892.photobucket.com/albums/ac127/cardboardreaction/phys.jpg

I need to just know how to do it, not the answer. :)

Looks likes its an energy problem, so you will need to use your law of conservation of energy equations. Can you identify the 3 forces acting on the sled? For the second part of the problem, what do you think the value of the final velocity is when it reaches its highest height as stated in the problem?
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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