Final answer:
To determine the total work done and the speed, you can calculate the work done by each spring and sum them up. The speed can be found using the work-energy principle.
Step-by-step explanation:
The total work done on the system can be found by calculating the work done by each spring and summing them up. The work done by a spring is given by the formula W = (1/2)kx^2, where k is the spring constant and x is the displacement of the spring. In this case, there are two springs, so the total work done is W = (1/2)k_1x_1^2 + (1/2)k_2x_2^2. The speed of the collar can be found using the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. So, W = (1/2)mv^2, where W is the work done, m is the mass, and v is the speed.