1. The problem statement, all variables and given/known data Given the diagram shown, calculate the minimum value of h such that when the cart reaches point A, it is just about to fall off. R = 10m mass of cart = 158kg note: there is no friction in the entire system 2. Relevant equations ΣFc = mac (note: Fc = centripetal force and ac = centripetal acceleration) 3. The attempt at a solution I am not sure if I got this question right but here is what I did: First I drew a free body diagram for the part of the diagram that had centripetal forces acting on it (included in the attachments). Then for my calculations I started out with the equation ΣFc = mac first and here is what I did: ΣFc = mac Fn + Fg = mv^2/r (Fn cancels out therefore): Fg = mv^2/r mg = mv^2/r (the m's cancel out) g = v^2/r (g)(r) = v^2 (9.80)(10) = v^2 98 = v^2 there is no friction in the system therefore: ΔE = 0 (Epf - Epi) + (Ekf - Eki) = 0 Epf - Epi + Ekf - Eki = 0 Epf + Ekf = Epi + Eki (Eki = 0 therefore): Epf + Ekf = Epi mghf + 1/2mvf^2 = mghi (the m's cancel out): ghf + 1/2vf^2 = ghi (9.80)(2*10) + 1/2(98) = (9.80)hi (for here I put hf = 2R because the cart is at the very top of the loop here so therefore hf = 2 times the radius) 245/9.80 = hi 25m = hi My question is, could someone please check this question to see if I did it right or if my answer is right, because I have three questions following this one that are quite similar in setup so I just want to make sure I am doing the first one correctly before I move onto the other three.