Kinetic Energy and Work Summary Page

Definition of the Joule

1 J = 1 N·m = 1 kg·m2/s2

Work done by an external force

W =F dx

Work done by a force over a distance

W = . = ||·||·cosq = (F·cosq)·d = F·d·cosq

Force exerted by a spring

= -k D = -k ( - o)

Work done in compressing or extending a spring

W = kx2

Kinetic energy of an object

K = mv2

The work-energy theorem

W = DK

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 = DW/Dt = W/t

Power exerted by a force

Pav = (·)/t = ·

Efficiency

e = Wout/Ein = Pout/Pin