1. The problem statement, all variables and given/known data The spring in the figure shown has a spring constant of k. It is compressed a distance of x meters, then launches a block of mass m kilograms. The horizontal surface is frictionless, but the coefficient of kinetic friction for the block on the incline is µk. The vertical distance up the incline is h, and the incline makes an angle T with the horizontal. Give all answers in terms of k, x, m, µk, h, T, and g. 1. How much mechanical energy is in the system when the block is at rest with the spring compressed? 2. How much mechanical energy gets converted to thermal energy as the block travels the length of the incline? 3. How much kinetic energy does the block have when it reaches the top of the incline? Here's the link to the picture: http://img21.imageshack.us/img21/6514/phys122.png [Broken] 2. The attempt at a solution for #1, I know that mechanical energy = Kinetic + Potential, so what I have down is ΔK + ΔU, which would be (K*ΔX) + mg, maybe? I'm most stuck on this one. For number 2 I have thermal energy = Kmicro + Umicro, which according to the book is Ethermal = µk*mg*Δx*cos(T). This doesn't sound right to me though. For number 3, I have that Kinetic energy = Potential + thermal, which I concluded, from the book, that kinetic = mg+(Fk * ΔX * cos(T)). Is this pretty close? Any help would be awesome, I haven't done physics homework in almost a year, and strictly symbolic problems always throw me for a loop for some reason.