Question

When we take a shower with hot water, once we stop receiving water we experience a greater sensation of cold than if we had showered with cold water. Investigate and make an argument based on the concepts studied in the class of physics (especially temperature and heat) and support his arguments with a development of equations or mathematical relationships that show your answer.

Answer 1

This can be explained using Newton's law of cooling.

Newton's law of cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the object’s surroundings.

Mathematically,

So as the temperature difference is increased, the rate of cooling also will increase. When we have hot shower, there is a much larger temperature difference between the surrounding and body , than a cold shower. So there will be a greater sensation of cooling.