# Total Energy Calculator

How to calculate the total energy of a moving object? Enter values into the **Total Energy Calculator**, such as mass, velocity, and height, you can determine the total energy.

### What Is Total Energy

Total energy is the sum of kinetic energy and potential energy of an object. Kinetic energy is the energy due to motion, while potential energy is the energy due to an object’s position or height.

### How to Use the Calculator

To use the calculator, follow these simple steps:

**Mass (kg)**: Enter the mass of the object. For example, enter`10`

kg.**Velocity (m/s)**: Enter the velocity of the object. For instance, enter`5`

m/s.**Height (m)**: Enter the height of the object. For example, enter`2`

meters.**Total Energy (J)**: If you already know the total energy, you can enter it here. Otherwise, leave it blank to calculate.

The calculator will determine the missing value based on the inputs provided.

### Formula

The formula to calculate total energy is:

$\text{TE}=\frac{1}{2}\times m\times {V}^{2}+m\times g\times H$

**Variables**

Variable | Description |
---|---|

TE | Total Energy (J) |

m | Mass (kg) |

V | Velocity (m/s) |

g | Acceleration due to gravity (9.81 m/s²) |

H | Height (m) |

## How To Calculate Total Energy

### Example 1

**Mass**: 8 kg**Velocity**: 3 m/s**Height**: 5 meters

To calculate the **Total Energy**:

1. Calculate kinetic energy:

$KE=\frac{1}{2}\times 8\times {3}^{2}=\frac{1}{2}\times 8\times 9=36\text{\hspace{0.17em}}\text{J}$

2. Calculate potential energy:

$PE=8\times 9.81\times 5=392.4\text{\hspace{0.17em}}\text{J}$

3. Add kinetic and potential energy:

$TE=36+392.4=428.4\text{\hspace{0.17em}}\text{J}$

So, the total energy is **428.4 Joules**.

#### Example 2

**Mass**: 5 kg**Velocity**: 4 m/s**Height**: 3 meters

To calculate the **Total Energy**:

1. Calculate kinetic energy:

$KE=\frac{1}{2}\times 5\times {4}^{2}=\frac{1}{2}\times 5\times 16=40\text{\hspace{0.17em}}\text{J}$

2. Calculate potential energy:

$PE=5\times 9.81\times 3=147.15\text{\hspace{0.17em}}\text{J}$

3. Add kinetic and potential energy:

$TE=40+147.15=187.15\text{\hspace{0.17em}}\text{J}$

So, the total energy is **187.15 Joules**.

Thank you for using our tool.