2D Mass-Spring System

Consider a mass-spring system that lives in a flat (2D) world. One end of the spring is connected to a fixed hinge sitting at location \((0,0)\). The other end of the spring is connected to a mass of value \(1\) kg. When the spring is at its rest length, the the mass is sitting at location \((3,4)\). Consider that you’ve moved the mass to a new location \((5,7)\), and answer the following questions. Let \(k\) represents the spring constant.

1. Is the spring extended or squished?

2. What do you think will happen if you release the mass at this point?

3. Compute the force acting on the mass when it is sitting at location \((5,7)\). You’ll need to express it in terms of \(k\).