Work Done by a Variable Force (Leaving Cert Applied Maths): Flashcards

$W = Fd$

Integration (calculus)

$W = \int_A^B F(x)dx$

Force as a function of distance $x$

Two positions (integration limits)

Hooke's Law

$F = k(l - l_0)$ where $l_0$ is natural length

$F = kx$ where $x$ is extension

Yes, identical results when applied correctly

Equal (for elastic strings)

Positive

$W = \Delta KE + \Delta PE$