Chapter 4 Work and Energy

 

The mathematical expression for the principle of work and energy is

where

T is called the kinetic energy, U is the work done by the force F

 

Work of a Weight

where W=mg is the weight, Dy is the vertical displacement

 

Work of a Spring Force

where k is the spring stiffness, s is the displacement of the spring from its equilibrium position.

Potential Energy

Read textbook to understand the definition of the conservative force and the potential energy.

Gravitational Potential Energy

where W is the weight and y is the vertical distance measured from a reference position.

Elastic Potential Energy

where k is the spring constant and s is the distance measured from its unstretched position.

Conservation of Energy