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force by spring

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To measure the static friction coefficient between a 1.9 kg block and a vertical wall, the setup shown in the drawing is used.

A spring (spring constant = 418 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.070 m, what is the coefficient of static friction?

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https://brainmass.com/physics/gravity/force-by-spring-135297

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First draw all the forces on the block. There are four forces. The gravity mg, the friction f, the normal ...

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It finds the coefficient of static friction between a block and a vertical wall. The solution is detailed and was rated '5/5' by the student who posted the questions originally.

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Potential energy of the two-spring system; force on the junction point.

The ends of two identical springs are connected. Their unstretched lengths l are negligibly small and each has spring constant k. After being connected, both springs are stretched an amount L and their free ends are anchored at y = 0 and x = +/- L as shown (see attachment). The point where the springs are connected to each other is now pulled to the position (x , y). Assume that (x , y) lies in the first quadrant.

A. What is the potential energy of the two-spring system after the point of connection has been moved to position (x , y)? Keep in mind that the unstretched length l of each spring is much less than L and can be ignored (i.e., l << L).
Express the potential in terms of k, x, y, and L.

B. Find the force F on the junction point, the point where the two springs are attached to each other.
Express F as a vector in terms of the unit vectors x and y.

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