Why do we need to study Physics and how?

Let us consider that in this biting cold you are rubbing the palms of your hands to keep yourself warm.You know due to friction the palm surfaces are getting warm. Mechanical energy is transformed into heat energy. But that is only qualitative inference of this observation.

Now if someone asks what is the scale of warmth developed ( temperature ) due to this rubbing; that means we want to measure the amount of temperature, then a quantitative analysis should be made to solve the problem. We study to find the parameters on which this increment of temperature is dependent:

1. area of the palm surfaces- more is the area, more is the rise of temperature
2. speed of palm movement- greater speed, greater increment of temperature
3. time of rubbing- more time of rubbing, more rise in temperature
4. presence of material on palm surfaces- lesser in smoother objects like -oil,powder
greater in coarse objects like- sand,etc.

So we find there are various factors on which the rise of temperature is dependent. Now we seek the nature i.e., the extent of dependence to find an expression of temperature mathematically. We call it mathematical modelling.

And this expression is your so called formula- if you obtain this by studying your observation and subject to actual results ( by plotting a graph ) we call the same as empirical. Whereas if we derive the expression with respect to our existing established theories and analysis, then it is analytical.

But in both cases you have to match the actually observed experimental result, otherwise nobody is going to listen your theory and explanation!

Wish you high analytical thinking and request you to set your mind to do the same all through your Physical existence.

Good Day Guys. All the very best.