Kinetic Energy and Work Summary Page

Definition of the Joule	1 J = 1 N $\cdot$ m = 1 kg$\cdot$ m2/s2
Work done by an external force	W =F dx
Work done by a force over a distance	W = . = ||·||·cos$\theta$= (F$\cdot$ cos$\theta$)$\cdot$ d = F$\cdot$ d$\cdot$ cos$\theta$
Force exerted by a spring	= -k $\Delta$ = -k ( - o)
Work done in compressing or extending a spring	W = kx2
Kinetic energy of an object	K = mv2
The work-energy theorem	W = $\Delta$K
Potential energy of a spring	Uspring = (1/2)kx2
Gravitational potential energy	Ugravity = mgh
Conservation of total energy	E= mv2 + U = mvo2 + Uo
Average power	Pav = $\Delta$W/$\Delta$t = W/t
Power exerted by a force	Pav = (·)/t = ·
Efficiency	$\epsilon$ = Wout/Ein = Pout/Pin