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Question: my batmobile car has a mass of 1000 kg it...

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My Batmobile car has a mass of 1000 kg. It starts from rest and drives slowly up the hill, At the top, it has increased its elevation by 5 m and has a speed of 8 m/s. While doing this it has given off 7 kJ of heat to the surroundings. How much work did the engine need to provide to the car in this process?

Neglect any change in internal energy of the car. Neglect any friction that the car had to overcome. Hint: Consider analyzing the car as the system (with the weightless engine outside of the system).

Answer: absolute value is about 90 kJ. Be sure to correctly provide the sign.

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