Mechanical energy is the energy that an object possesses due to its motion or position. It is the sum of kinetic energy and potential energy in a system.

Kinetic energy is the energy an object has due to its motion. The formula for kinetic energy is:

KE = 0.5 * m * v^{2}

where KE is the kinetic energy, m is the mass of the object, and v is its velocity.

Potential energy is the energy that an object possesses due to its position or state. The two main types of potential energy are gravitational potential energy and elastic potential energy.

Gravitational potential energy (GPE) is given by the formula:

GPE = m * g * h

where m is the mass, g is the acceleration due to gravity, and h is the height above a reference point.

Elastic potential energy (EPE) is given by the formula:

EPE = 0.5 * k * x^{2}

where k is the spring constant and x is the displacement from the equilibrium position.

In the absence of non-conservative forces such as friction or air resistance, the total mechanical energy of a system remains constant. This is known as the conservation of mechanical energy.

The equation for conservation of mechanical energy is:

KE_{i} + PE_{i} = KE_{f} + PE_{f}

where KE_{i} and PE_{i} are the initial kinetic and potential energies, and KE_{f} and PE_{f} are the final kinetic and potential energies, respectively.

Mechanical energy is essential in various real-world applications such as roller coasters, pendulums, and springs. Understanding mechanical energy allows engineers to design efficient and safe systems.

- Understand the concepts of kinetic and potential energy.
- Learn the formulas for calculating kinetic and potential energy.
- Practice solving problems involving conservation of mechanical energy.
- Explore real-world examples of mechanical energy and its applications.

Worksheet/Answer key

Electromagnetism Worksheet/Answer key

Electromagnetism Worksheet/Answer key

Electromagnetism

PHYSICAL SCIENCE (NGSS)

Energy

Students who demonstrate understanding can:

Design, build, and refine a device that works within given constraints to convert one form of energy into another form of energy.