eguruchela

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

30

$$ E_K = \frac{1}{2}Iw^2 $$

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)

15

$$ E_p = mgh $$

Conservation of Mechanical Energy

$$ E_k + E_p = constant $$

Conservation Of Energy

$$ E_k + E_p + E_c + ...= constant $$