Consider a roller coaster that moves along the track shown in Figure P6.32. Assume all f...

Consider a roller coaster that moves along the track shown in Figure P6.32. Assume all friction is negligible and ignore the kinetic energy of the roller coaster’s wheels. (a) Is the mechanical energy of the roller coaster conserved? (b) Add a coordinate system to the sketch in Figure P6.32. (c) If the roller coaster starts from rest at location A, what is its total mechanical energy at point A? (d) If is the speed at point B, what is the total mechanical energy at point B? (e) Find the speed of the roller coaster when it reaches locations B and C.