(a) A gallon of gasoline contains about \(1.4 \times 10^{8} \mathrm{~J}\) of chemical energy. A car consumes this amount of gasoline in approximately \(30 \mathrm{~min}\) when cruising along a highway; a plane consumes the same amount in about \(1 \mathrm{~s}\) when flying at cruising altitude. What is the average power of the energy release in each case?

(b) A 10-kg load must be hoisted up the side of a building that is \(50 \mathrm{~m}\) tall. How quickly can an athlete capable of delivering \(500 \mathrm{~W}\) of power get the job done?

(c) A 3-kW engine gets the job done six times faster than the athlete. How does the work done by the engine on the load compare with the work done by the athlete on the load?