The total mechanical energy is the sum of kinetic and potential energies: E = K + U. In order to calculate the mechanical energy, you need to know the following information:

- The object’s mass
- The object’s velocity
- The object’s height
- The object’s acceleration

**Kinetic energy**: The kinetic energy (KE) is equal to one half of the mass times the velocity squared. KE = 0.5 * m * v^{2}. To find the velocity, use the following equation: v = sqrt(2 * g * h). Where g is the acceleration due to gravity (9.81 m/s^{2}) and h is the height.

**Potential energy**: The potential energy (PE) is equal to the mass times gravity times height. PE = m * g * h. Where m is the mass, g is the acceleration due to gravity (9.81 m/s^{2}) and h is the height.

## How do you calculate mechanical kinetic energy?

**Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2.** If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

In order to calculate the kinetic energy, **you must first know the velocity of the object and the object’s mass**. Once you have these two pieces of information, you can plug them into the equation: K.E. = 1/2 mv^{2}. The resulting answer will be in units of kilograms-meters squared per second squared.

It is important to note **that kinetic energy is a vector quantity,** meaning that it has both magnitude and direction. In order to calculate the magnitude of the kinetic energy, you must take the square root of the sum of the squares of the velocity components.

The direction of the kinetic energy is perpendicular to the direction of motion. This can be determined by using the cross product of the velocity and position vectors.

Once you have calculated the magnitude and direction of the kinetic energy, you can then use these values to calculate the potential energy. Potential energy is equal to the product of the mass and gravity constant, multiplied by the height above a reference point. The reference point is usually considered to be ground level.

**In summary,** calculating kinetic energy is done by finding the object’s mass and velocity, plugging these values into the equation K.E. = 1/2 mv^{2}, and then determining the magnitude and direction of the resulting vector quantity.

## How is the total mechanical energy of an object calculated write its formula?

The **mechanical energy** of an object is the sum of its kinetic energy and its potential energy. **The equation for mechanical energy is:**

**M.E. = K.E. + P.E.**

Where:

**M.E.**: Mechanical Energy**K.E.**: Kinetic Energy**P.E.**: Potential Energy

## How do you calculate mechanical energy in joules?

- The
**kinetic energy**of an object is equal to half of its mass multiplied by the velocity squared. For example, the kinetic energy of a 10 kg object moving at 5 meters per second is 125 Joules. - The
**potential energy**of an object is equal to its mass multiplied by the acceleration of gravity, multiplied by its height. For example, the potential energy of a 1 kg object at a height of 10 meters is 98 Joules. - The
**total mechanical energy**of an object is equal to the sum of its kinetic and potential energies. In the example above, the total mechanical energy of the object would be 223 Joules.

## What is the formula for calculating mechanical work?

**The work done by a force can be calculated by multiplying the force by the distance over which it acts.** If the force is constant and along the same line as the motion, then the work can be calculated by multiplying the force by the distance, W = Fd. Letting both F and d have positive or negative signs, according to the coordinate system chosen.

When a force acts on an object, it does work. The amount of work done is equal to the force times the distance over which it acts. If the force is constant, then we can calculate the work done by multiplying the force by the distance over which it acts. This is represented by the equation W = Fd.

**In order to calculate work**, we need to know two things: the force acting on an object and the distance over which that force is acting. The SI unit of work is the joule (J), which is equal to 1 N•m (newton meter).

**There are two types of forces that can do work**: contact forces and non-contact forces. Contact forces are those that require contact between two objects in order to do work. Examples of contact forces include friction, air resistance, and applied forces. Non-contact forces do not require contact between two objects in order to do work. Examples of non-contact forces include gravity, magnets, and electric charges.

- Frictional Force
- Air Resistance
- Applied Force
- Gravity
- Magnetic Force
- Electrostatic Force

**The formula for calculating work is W = Fd.**

## What is total mechanical energy?

Total mechanical energy refers to the sum of the potential energy and the kinetic energy a body may have. **In a single event, the sum of the two types of mechanical energy is always the same.** Sure, the potential and kinetic energy change rapidly as the ball goes up and down, but their sum is always the same.

**Potential energy** is stored energy that has the potential to be converted into kinetic energy. For example, when you wind up a toy car, you are storing potential energy in its springs. When you release it, that potential energy is converted into kinetic energy and propels the car forward.

**Kinetic energy**, on the other hand, is the energy of motion. It is what keeps an object moving once it is in motion. If you were to roll a ball down a hill, gravity would pull it down, converting its potential energy into kinetic energy.

#### What happens when an object reaches the bottom of a hill?

Its potential energy has been completely converted into kinetic energy and it is now travelling at its maximum speed. At this point, its total mechanical energy is at a maximum.

**As the ball continues to roll down the hill**, its speed will gradually decrease as friction starts to take its toll. The ball will eventually come to a stop and its total mechanical energy will be zero.

**If we then pick up the ball and throw it back up the hill**, its potential energy will increase as it gains altitude. Once again, its total mechanical energy will be equal to the sum of its potential and kinetic energies.