Final answer:
The question involves using the conservation of energy and Hooke's law to calculate the speed of a collar moving on springs, given the stiffness constants of the springs and the distance moved from the unstretched position.
Step-by-step explanation:
The student's question concerns physics, specifically involving the concept of energy conservation and Hooke's law in the context of springs.
When a 2-kg collar starts from rest and moves 200 mm from its unstretched length, the potential energy stored in the springs is converted into kinetic energy, which is the energy of motion of the collar.
The springs' stiffness constants (k1 and k2) would determine how much energy is stored when stretched.
To find the speed of the collar, one would use the formula for potential energy stored in a spring (PE = 1/2 kx^2) and equate it to the kinetic energy (KE = 1/2 mv^2) to solve for the collar’s velocity (v).