An automobile is brought to a stop by applying friction brakes to the wheels. The brakes get hot; their thermal energy is increased. The decrease in kinetic of the car is equal to the increase in thermal energy of the brakes. According to the first law of thermodynamics, the brakes could cool and return the thermal energy to the car, causing it to resume its motion. This does not happen. Why?

According to the first law of thermodynamics, energy can neither be created nor destroyed, but it can be converted from one form to another. In the case of an automobile being brought to a stop, the kinetic energy of the car is converted into thermal energy due to the friction between the brakes and the wheels. This increase in thermal energy is indeed equal to the decrease in the kinetic energy of the car.

However, it is important to understand the concept of energy transfer and how it depends on the direction of the transfer. In this scenario, the thermal energy from the brakes is released into the surrounding environment, rather than being transferred back to the car and converted into kinetic energy again.

This happens because when the brakes get hot, they lose thermal energy to the cooler air or components around them. This thermal energy dissipates into the atmosphere through conduction, convection, and radiation. The temperature gradient between the hot brakes and the cooler surroundings drives this heat transfer process, and eventually, the brakes cool down.

In order for the thermal energy to be transferred back to the car and resume its motion, a reversed process would need to occur, where the brakes absorb thermal energy from the environment. However, this is not possible in this scenario due to the second law of thermodynamics, which states that heat naturally flows from a higher temperature region to a lower temperature region. Thus, the brakes cannot spontaneously absorb energy from the surroundings and transfer it back to the car.

In summary, while the first law of thermodynamics allows for the conversion of kinetic energy into thermal energy, the second law governs the directionality of energy transfer. The car's thermal energy dissipates into the environment, making it impossible for the brakes to cool down and return the thermal energy to the car to resume its motion.

The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, only transferred or transformed from one form to another. In the case of an automobile being brought to a stop and the brakes heating up, there is indeed a transfer of energy from the kinetic energy of the car to the thermal energy of the brakes. However, for the brakes to cool down and transfer thermal energy back to the car, there needs to be a temperature difference or gradient. This gradient allows for heat transfer in the direction from a higher temperature to a lower temperature.

In normal operating conditions, the brakes of a car have a higher temperature compared to the surroundings due to the heat generated during braking. As a result, the thermal energy from the brakes dissipates to the surrounding air, causing the brakes to gradually cool down. However, the cooling of the brakes does not result in the transfer of thermal energy back to the car in a significant amount. This is because the temperature difference between the cooled brakes and the car's surroundings is generally not large enough to cause a substantial amount of heat transfer back to the car.

Additionally, other factors such as insulation and dissipation of heat to the surroundings further inhibit the transfer of thermal energy from the brakes back to the car. Therefore, the thermal energy converted from the car's kinetic energy during braking remains largely dissipated to the surrounding environment, making it difficult for the brakes to cool down and return the thermal energy to the car.