9) We need to find a graph of the restoring force acting on the block. The situation is a block attached to a spring on a frictionless surface. This question asks us to find the most accurate graph for the linear restoring force as a function of displacement from equilibrium. We need to use Hooke's Law for the problem.
This equation tells us that as the displacement gets larger, the force will get larger as well because they are directly related. Additionally, when displacement is 0, the force will be 0. All this information taken together can lead us to predict the graph will be linear and will cross at the origin. We can draw our own graph.
Since we just need an approximation, we don't need to look for an exact scale, but rather a general shape of the graph. The only answer that looks like our graph is choice B.
Answer: B
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