8. A car initially has 100 J of total energy. After driving down the road, the car's
A car initially has 100 J of total energy after driving down the road the cars total energy is measured to be 80 J.
a. How much work was done on the car? (Show all your work including the formula/unit)
b. Was the work done on the car positive or negative? Explain.

Respuesta :

The work done on the car is -20 J.

Work done on the car is negative, meaning that the car actually does work on the external system.

Energy and law of conservation of energy

  • Energy is the ability to do work
  • the law of conservation of energy states that the total energy in a system is conserved

From the law of conservation of energy, the initial energy of the car before it moves down the road remains constant or unchanged.

  • Initial energy = 100 J
  • Initial energy = Final energy - work done on car
  • Final Energy = Work done on car + initial energy

80J = Work done on car + 100 J

Work done on car = 80 - 100J

Work done on car = -20 J

Hence, the work done on the car is -20 J

Work done on car is negative.

Since work done on the car is negative, it means that the car actually does work on the external system. Hence, the decrease in the energy of the car.

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