1. The problem statement, all variables and given/known data A 4.0 kg block starts at rest and slides a distance d down a frictionless 35.0 incline, where it runs into a spring. The block slides an additional 16.0 cm before it is brought to rest momentarily by compressing the spring, whose spring constant is 429 N[PLAIN]https://homework2.math.pitt.edu/adm/jsMath/fonts/cmmi10/alpha/100/char3D.pngm [Broken] . a) What is the value of d? b) What is the distance between the point of first contact and the point where the block's speed is greatest? 2. Relevant equations Ui+Ki=Uf+Kf US=1/2kx2 UG=mgh K=1/2mv2 3. The attempt at a solution a) This one I got 1/2kx^2=mgΔh 1/2(429)(.162)=mgΔh Δh=.244 d=.244-.16=.084m (correct answer) b) This one I'm not sure of 1/2mv2+mgh=1/2mvf2+mg((.16-x)sin(35))+1/2kx2 I got that the velocity at contact is .972 m/s but how do I get the final velocity value? I need it to use the conservation of energy law the way I set it up. I've found similar questions to this online but none of them provide actual explanations/calculations for this part. I'm aware that it accelerates still once it hits the spring but then what?