Physics › Kinematics ›

# The Equation of Energy

The Equation of Energy for a body travelling in a straight line or under Simple Harmonic Motion

**Contents**

## The Mechanics Of Motion Of A Body Traveling In A Straight Line.

There are two integrals of the equation of Motion of a Body which have special significance because of their physical meaning. They are the equations of**Energy**and

**Momentum**.

## The Equation Of Energy.

It is possible to write acceleration as . The formula for Newton's Second Law ( F = ma) can now be expressed as:- are the velocities of the body at respectively. The left hand of the equation is the increase in**Kinetic Energy**and the right hand side is the

**Work Done**by the force F. This equation or its alternative form (3) are called the

**Equation of Energy**The Equation of Energy can also be obtained by multiplying equation (2) by i.e. by v and then by integrating with respect to t rather than x. Which is the same as equation (3)