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We study numerically scaling properties of the distribution of cumulativeenergy dissipated in an avalanche and the dynamic phase transition in astochastic directed cellular automaton [B. Tadi\'c and D. Dhar, Phys. Rev.Lett. {\bf 79}, 1519 (1997)] in d=1+1 dimensions. In the critical steady stateoccurring for the probability of toppling $p\ge p^\star$= 0.70548, thedissipated energy distribution exhibits scaling behavior with new scalingexponents $\tau_E $ and D_E for slope and cut-off energy, respectively,indicating that the sandpile surface is a fractal. In contrast to avalancheexponents, the energy exponents appear to be p- dependent in the region$p^\star \le p <1$, however the product $(\tau_E-1)D_E$ remains universal. Weestimate the roughness exponent of the transverse section of the pile as $\chi=0.44\pm 0.04$. Critical exponents characterizing the dynamic phase transitionat $p^\star $ are obtained by direct simulation and scaling analysis of thesurvival probability distribution and the average outflow current. Thetransition belongs to a new universality class with the critical exponents$\nu_\| =\gamma =1.22 \pm 0.02$, $\beta =0.56\pm 0.02$ and $\nu_\bot = 0.761\pm 0.029$, with apparent violation of hyperscaling. Generalized hyperscalingrelation leads to $\beta + \beta ^\prime = (d-1)\nu_\bot $, where $\beta^\prime = 0.195 \pm 0.012$ is the exponent governed by the ultimate survivalprobability

Scale-free energy dissipation and dynamic phase transition in stochastic sandpiles