Vector make mechanics difficult

• Energy is a conserved quantity that transforms from one type to another when “Forces do work”
• All the same physics, just coded using simpler mathematics.

$$ W_{work} = - U_{energy} \ (Both\ Scalar) $$

$$ \Delta E_k = W_{net} $$

$$ \Delta E_{mech} = W_{noncons} $$

Formula get:

$$ \frac 1 2 |\vec {vf}|^2 = \frac 1 2 |\vec {vi}|^2 + m \vec a \vec {\Delta x } \\ \frac 1 2 |\vec {vf}|^2 - \frac 1 2 |\vec {vi}|^2 = \vec F\vec{\Delta x}\\Ef -Ei =W $$

With direction !!!

$$ Wnet = \vec {Fnet}\vec {\Delta r} $$

Ek && Ep formula:

$$ Ek = \frac 1 2 m|\vec v|^2 $$

$$ Wg =-mg\Delta h $$

Work F:

$$ W_{\vec{F}} = |\vec F||\vec{\Delta r}|cos(\theta) $$