Chapter 12, "Energy"

Work

W = FDx

where Dx = displacement and F = force in the direction of displacement.

Kinetic Energy

KE = ½mv²

where m = mass and v = speed.

Work-Energy Theorem

W = DKE = KE_f – KE_i

or

where the force and displacement are in the same direction and v is speed.

Gravitational Potential Energy

GPE = mgy

where m = mass, g = acceleration due to gravity, and y = height.

Conservation of Mechanical Energy (Simplified)

KE_i + PE_i = KE_f + PE_f

or

Conservation of Mechanical Energy (Modified)

KE_i + PE_i = KE_f + PE_f + E_o

or

where E_o represents other energy (heat/sound).