1. The problem statement, all variables and given/known data A block with a mass of 8.7kg slides down a hill with an angle of 27.4 degrees at an initial velocity of 1.66m/s. The friction uk between the block and hill is 0.62. What is the distance the block slides down the hill? I solved the equation using components and kinetics, but I'm not quite sure how to solve it using energy conservation. 2. Relevant equations For energy: I know initial energy=final energy KE+PE= ? +ukNx ????? 3. The attempt at a solution Here is my work solving it with components N(0,1)+mg(sin27.4, -cos27.4)+ukN (-1,0)=ma (1,0) N=mgcos27.4 a=gsin27.4-ukmgcos27.4 =-.89m/s^2 Vf^2=Vi^2+2ad d=-vo^2/2a d=1.56m hopefully doing it this way is also right. Thank you for any help!