Physics, Classical Mechanics, Mathematics, Calculus, Vector Calculus.
line integrals. Hence, the work done can also be written as W = U(a) - U(b). However, recalling that this is also equal to T(b) - T(a), we can rearrange to get the following: Or in other words, the total energy at point a is the same as the total energy at point b, implying that energy was