A heat engine that operates on a Brayton cycle uses \(\mathrm{N}_{2}\) gas and has a pressure ratio of 10 . It is being used to lift a \(535-\mathrm{kg}\) pallet of bricks vertically at a steady rate of \(100 \mathrm{~mm} / \mathrm{s}\). At what rate must thermal energy be supplied to this engine to accomplish this task?