The low-temperature reservoir for a heat engine that operates on a Carnot cycle is at \(-5^{\circ} \mathrm{C}\). Using only \(1.00 \mathrm{MJ}\) of thermal energy, this engine needs to pull a \(1200-\mathrm{kg}\) boulder at a steady rate \(65.0 \mathrm{~m}\) up a ramp inclined at \(35.0^{\circ}\) above the horizontal.

(a) What must the temperature of the high-temperature reservoir be? 

\((b)\) How much of the \(1.00 \mathrm{MJ}\) of input energy is wasted as the boulder travels this distance? Ignore any friction between the boulder and the ramp surface.