1. The problem statement, all variables and given/known data An object slides down a slope (from rest) and then immediately around a loop (like a roller coaster). The object has mass m, and the height of the loop is 2r. What is the minimum height required for the object to make it around the loop? Express answer in terms of m, r, g, and v. 2. Relevant equations K=mv^2/2 U=mgh 3. The attempt at a solution Would the potential energy of the slope (U1) be equal to the potential energy of the loop (U2) + the kinetic energy, so h=mv^2/2 + mg2r? That's what I think so far, but not sure if it is right.