1. The problem statement, all variables and given/known data A block of mass 20kg with a spring with a stiffness of 500N/m attached to the bottom is dropped .5m from rest onto another spring of stiffness 800N/m. The weight of the springs can be neglected. What is the maximum deformation of each spring due to the collision. 2. Relevant equations work = change in kinetic energy + change in potential energy + change in elastic energy 3. The attempt at a solution I have assumed that I can add the different spring coefficients, giving me an energy equation of: work=0= -.5mv^2 + -mg(.5+x) + .5k(x^2) here k is the sum of the spring coefficents and x is the total deformation of the spring. I solved the equation, got two answers for x one positive and one negative. Can I use the ratio of the spring coefficients to work out the individual reformation, and also do i use the positive value calculated for x? Sorry for the long question, your help is appreciated.