Key Equations

Key Equations

9.1 Work, Power, and the Work–Energy Theorem

equation for work W=fd W=fd
force f=w=mg f=w=mg
work equivalencies W=P E e =fmg W=P E e =fmg
kinetic energy KE= 1 2 m v 2 KE= 1 2 m v 2
work–energy theorem W=ΔKE =  1 2 m v 2 2 − 1 2 m v 1 2 W=ΔKE =  1 2 m v 2 2 − 1 2 m v 1 2
power P= W t P= W t

9.2 Mechanical Energy and Conservation of Energy

conservation of energy K E 1 +P E 1 =K E 2 +P E 2 K E 1 +P E 1 =K E 2 +P E 2

9.3 Simple Machines

ideal mechanical advantage (general) IMA= F r F e = d e d r IMA= F r F e = d e d r
ideal mechanical advantage (lever) IMA= L e L r IMA= L e L r
ideal mechanical advantage (wheel and axle) IMA= R r IMA= R r
ideal mechanical advantage (inclined plane) IMA= L h IMA= L h
ideal mechanical advantage (wedge) IMA= L t IMA= L t
ideal mechanical advantage (pulley) IMA=N  IMA=N 
ideal mechanical advantage (screw) IMA= 2πL P IMA= 2πL P
input work W i = F i d i W i = F i d i
output work W o = F o d o W o = F o d o
efficiency output % efficiency= W o W i ×100 % efficiency= W o W i ×100