1. The problem statement, all variables and given/known data A sleeve of mass m is constrained to move without friction along the x-axis. The sleeve is connected to the point (0, 2) on the y-axis by a spring as shown in the diagram below. Assume that Hooke’s “Law” is a good approximation for the restoring force exerted by the spring, i.e. that F = −k4l, where k > 0 and 4l denotes the extension/compression of the spring from its equilibrium (unextended) length, directed along the axis l of the spring. In this problem, assume that the equilibrium (unextended) length of the spring is 1 unit. Using an appropriate integration, compute the work W(x) necessary to move the mass from x = 0 to a point x 6= 0. (Because of symmetry, you need only to consider the case x > 0.) Hint: Diagrams of forces, projections, etc., could be very helpful here. What is the significance of the quantity W(x) in terms of energy? (A simple answer will do.) Note: You have computed the line integral of a nonconstant force that is not directed along the direction of motion of an object. Later in this course, we shall extend the process to motion along curves. 2. Relevant equations W=∫Fxds 3. The attempt at a solution I know how to solve most of this question, just that I do not know what ds is. Can somebody help me?