How can energy equations be applied to solve this problem?

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Energy equations can be applied to solve problems involving work and energy changes, but the discussion suggests that using Newton's first law may be more effective for certain tasks. The friction force is expressed as mu*(Mg-k*x*sin(theta)), which equals k*x*cos(theta). The poster seeks clarification on how to visualize and apply these equations correctly. There is a preference indicated for a simpler approach rather than relying solely on energy and work equations. Understanding the relationships between forces and their application in equations is crucial for solving the problem effectively.
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Homework Statement



All of them in the picture attached.

Homework Equations



Energy and work equations;the change of the energy is equal to work done.

The Attempt at a Solution



ACtually,I don't know how to appy these equations if you can draw the forces and relationships and how to apply them into equations the logic behind it,I would be appreciated.Thanks.
 

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I think it's not the best idea to solve this task using energy and work. Maybe it would be easier to use the 1-st Newton's law (for solving the b) task):
the friction forse is: mu*(Mg-k*x*sin(theta)), and it is equal to k*x*cos(theta)
 

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