Force times the distance traveled in the direction of that force is referred to as what?

Answer 1

Exergy! Today's science calls this energy, this is wrong it is Exergy NOT Energy. This is a fundamental point of science and math. This is the difference between good math and bad math, Hamilton's Vectors and the vectors used in today's science. Bad math makes bad science.

The proper analysis which the math provided is "if you drop a ball under gravity , you get energy out or exergy. If you lift a ball under gravity you put energy in." This should be obvious to a child, but it is not the rule for physicists even today.

There is a history behind this wrong view. Maxwell and the scientists wanted to call this energy, which is work-in or energy, however Hamilton's vectors which Maxwell was using called it work-out or exergy. The physicists had defined it as work-in or energy and wanted it to be positive. The Physicists prevailed and J Willard Gibbs and Oliver Heaviside invented a new vector math called Vector Analysis, where the rule is I^2= +1. This rule is in use today and hampers math and physics. It is mathematically and physically defective.

Vector Analysis is mathematically non-associative meaning A(BC) does not equal (AB)C. Hamilton's vectors are associative and A(BC)= (AB)C!

It is inconceivable that physics uses defective math but it does. You cannot have good physics with bad math.