In this paper, we study the implications of assuming different technologies for physical capital accumulation and consumption. More precisely, we assume that physical capital accumulation is relatively more energy-intensive than consumption. We conclude that this hypothesis, together with the possibility of technical progress (in particular, energy-saving technical progress), has important implications on economic growth. This model entails some technical difficulties. However, we provide a full analytical characterization of both short and long-run dynamics using Gauss Hypergeometric functions.