A 20 kg mass is released from rest at the top of a plane inclined at an angle of 30 degrees. At the bottom of the plane lies a spring with a spring constant of 200 N/m. The distance between the mass and the spring is 6 m, and the coefficient of sliding friction is .2. I have to answer a series of questions: a) How far has the spring been compressed when the block is brought to rest? b) What is the velocity of the mass as it reaches the spring? c) & d) How far will the spring be compressed when the mass reaches its maximum velocity, and what will its maximum velocity be? e) What is the velocity of the mass as it is released by the spring back up the plane? f) How far up the plane does the mass travel? g) How long does it take for the mass to reach this point? This was originally assigned a while ago, but I never got around to doing it and I have to hand it in by tomorrow. I came up with an answer for the second question by doing Kinetic Energy + Work done by Friction = Potential Energy, but I'm not sure if that's the right way to do it. I need help on the first question with finding how much force is being applied to the spring, and also for the 3rd and fourth questions on how to find the maximum velocity. After I find these I could probably do the last three questions by myself. Can anyone help?