The (1000-mathrm{kg}) car at the bottom of the hill in Figure P9.60 wants to make it to

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The \(1000-\mathrm{kg}\) car at the bottom of the hill in Figure P9.60 wants to make it to the top of the hill. What should be the minimum power output of the engine given that \(30 \%\) of the engine's power and \(30 \%\) of the car's kinetic energy are lost, and that it takes the car \(20 \mathrm{~min}\) to make it to the top? 

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