1. The problem statement, all variables and given/known data A block weighing 9.81N oscillates on a plane inclined of 60 degrees attached to a spring whose constant point is k=100N/m and the length is to equilibrium l0 = 0.6 m. While the block goes to the top losing speed , a timer is started ( to t0 = 0) when the block passes through the point where the potential energy of the spring assembly system equals the kinetic energy of the block (U0 =K0) and measuring the K(t0)= K0 = 2J. Note that the inclined plane is also the potential energy Total block -spring system is given by U = 1/2* kx2 . The block kinetic energy is K =1/2* m v2 . The total energy of the system is preserved and satisfies the relationship : E = U + K =1/2 *kA2. a) What are the initial position xo and vo initial speed of the block ? b) What is the maximum length of the spring when it oscillates ? 2. Relevant equations 3. The attempt at a solution a) since K0 = U0 and K0 = 2J then U0 also equals 2J. Then I can use those 2 equations: W = 9.81N so m = 1kg U = 1/2* k*x2 . 2J = 1/2* 100*x2 . x= 0.2m K =1/2* m v2 2J = 1/2 * 1kg * v2 v = 2m/s b) we know that l0 = 0.6 W = sqrt(k/m) W = sqrt(100/1) = 10rad/s E = U + K =1/2 *kA2. E = 2J + 2J =1/2 *kA2. 2J + 2J =1/2 *100*A2. A = 0.282843 I am pretty much stuck here and not sure how to proceed to find the maximum length of the spring when it oscillates.