Need Help with Work Energy Theorem Problem

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SUMMARY

The discussion centers on applying the work-energy theorem to solve for initial velocity when given final velocity, coefficient of friction, and distance. The key equation to use is the relationship between initial kinetic energy and work done by friction. Specifically, the work done by friction can be calculated using the formula: Work = friction force × distance, where the friction force is determined by the coefficient of friction and the normal force. The mass of the object is irrelevant in this context, simplifying the calculations.

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Bobalandi
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I am having some problems, I am on the work energy theorem and I had to do some problems for homework. For one of the questions I was not given enough information.

I am supposed to find the initial velocity, when they tell us the final velocity is zero, the coefficient of friction is 0.42 and the distance in the x direction is 88m. But I don't understand how I can find the initial velocity like that.
I know:
v^2=1/2mv^2
and it says mass doesn't matter.

Thanks in advance.
 
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Well, since this is a work-energy theorem question, why not make use of the work done by friction? How would you relate the work-energy theorem to this problem?
 
Try using energy considerations. The initial kinetic energy is equal to the work done by the frictional force in stopping the object. Can you set up an equation?
 

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