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A 40%-efficient car engine accelerates the 2000 kg car from rest to 19 m/s . How...

A 40%-efficient car engine accelerates the 2000 kg car from rest to 19 m/s . How much energy is transferred to the engine by burning gasoline?

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Answer #1

Initially the car is at rest, the initial kinetic energy of the car is zero

The kinetic energy of the car when it is moving at speed 19m/s is

By work energy theorem, the net work done on a mechanical system is equal to the change in kinetic energy of the system. The work done by the engine is

Efficiency of an engine is defined as

where Q is the heat energy transferred to the engine by burning gasoline.

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