- #1

Bullwinckle

- 10

- 0

Fdt = ma dt

And then:

Fdt = mdv

And then:

Impulse = change in momentum.

OK; I get that.

I get a similar process for Work/Energy multiplying F=ma by ds on both sides as follows

Fds = ma ds

And using a ds = v dv to get

Fds = m v dv

Work = change in kinetic energy.

Now I have been coming to learn that it is not wise to split the derivative

For example the form: ads = vdv is possible in 1D.

And even then, it is fairly contorted: one should not, in a pure sense, split the derivative.

(I have gotten wind of issues like force is a one form and that explains the ds... can we avoid that advanced stuff for now?)

Is it possible get to the core of work/energy and impulse/momentum without splitting the derivative?