My other response addresses the question of forces.
In this response I approach the issue of perception of exerted force. It happened to me in an experiment when still a boy and it took me many years to understand.
A young man sat down and four others were around him, myself included.
We got up it simultaneously using only two fingers of each hand applied to his arms and legs, and he was very heavy, ie had the feel of this.
Then imposed at the same time our hands on his head. With our arms stretched and alternately kept our hands, eight, over his head so that not touched, for several seconds.
After that we we got up it again the same way and this time it was much lighter, ie we were very clear that feeling.
Only many years later I managed to understand the mystery of what had happened:
Before the second lifting action we did a calibration, ie establish a high point of reference, when we made force with the arms to keep them raised and stretched.
Our mental measure of the force exerted was made by comparison with this reference, that was already quite closer to the force that we exercised.
In conclusion: We are sensitive to differences and not the absolute values.
The fact that our scale is logarithmic, not linear, is not relevant in this case.