The application of kinetic energy is to bring an object in motion. It can be defined as the energy that tends to accelerate an object of particular mass from rest. Thus, it holds the magnitude of velocity and change in distance. Remember, the kinetic energy of the object remains same if it speed remains unchanged.

Mathematically, kinetic energy can be written as,

T = ½ mv^{2}

Where,

m = Mass of the body

V = Velocity gains by the body from rest

To calculate the work done, we have to consider kinetic energy on an object at different interval of time, we get-

U_{1 – 2} = T_{2} – T_{1}

Where,

T_{2}= ½ mv_{2}^{2}

T_{1}= ½ mv_{1}^{2}

The above equation can also be written as-

U_{1 – 2} = T_{2} – T_{1} = T

It is called work-energy equation where the work done changes from state 1 to state 2 is equal to change in kinetic energy in this particular interval of time.

Or,

The above equation can also be written as-

U_{1 – 2}+ T_{1}= T_{2}

Considering this, it can be defined as the summation of kinetic energy at state 1 during certain point of time and work done changes from state 1 to state 2 is equal to kinetic energy at state 2 during another point of time.

**Links of Previous Main Topic:-**

- Position vector velocity and acceleration
- Plane kinematics of rigid bodies introduction
- Combined motion of translation and rotation
- Rectilinear motion in kinetics of particles
- Work and energy
- Kinetic energy

**Links of Next Mechanical Engineering Topics:-**