In the figure shown, the spring deflects by $$\delta $$ to position A ( the equilibrium position) when a mass $$m$$ is kept on it. During free vibration, the mass is at position $$B$$ at some instant. The change in potential energy of the spring mass system from position $$A$$ to position $$B$$ is

Which of the following statement is correct?

A cyclic heat engine does $$50$$ $$kJ$$ of work per cycle. If the efficiency of the heat engine is $$75\% $$, then heat rejected per cycle is

Stream at $$300$$ $$kPa$$ and $${500^ \circ }C\,\,\left( {h = 3486.0\,\,kJ/kg} \right)$$ enters a steam turbine and exits at atmospheric pressure and $${350^ \circ }C\,\,\left( {h = 3175.8\,\,kJ/kg} \right).$$ Heat losses in turbine are $$50$$ $$kW$$ and the mass flow rate is $$0.25$$ $$kg/s$$. Determine the power output of the turbine if kinetic energy losses are negligible.