List of formulas related to Work and energy
Work
W: work done by a force (j), F: force move a object for a distance s, α: angle between F and movement direction
$$ W = Fs \cos\alpha $$Example
Wp: work by gravity, h: the change in height; wms:work of friction’s force; W: work by a spring
$$ W_p = mgh $$ $$ W_{ms} = - F_{ms}.s $$ $$ W = \frac{1}{2}k(x_1^2 -x_2^2) $$Power
P: power (watt, W), t: time of conducting the work W(s)
$$ p = \frac{W}{t} $$Kinetic Energy
$$ E_k = \frac{1}{2}mv^2 $$Kinetic Energy Of A Massive Rotating Body
$$ E_K = \frac{1}{2}Iw^2 $$Work Energy Principle
v1, v2: speeds of object before and after the change
$$ W = \Delta E_k = \frac{1}{2}mv_2^2 - \frac{1}{2}mv_1^2 $$Potential Energy
Ep: gravitational potential energy (j), m: mass of object (kg)
$$ E_p = mgh $$