Conservation of Mechanical Energy

Mechanical energy is the sum of potential energy and kinetic energy in a system.

Kinetic energy is the energy of motion, calculated using the formula KE = 1/2 mv², where m is mass and v is velocity.

Potential energy is the stored energy in an object due to its position or state, commonly calculated as PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.

Kinetic energy (KE) is calculated using the formula KE = 1/2 mv².

Potential energy (PE) is calculated using the formula PE = mgh.

In a closed system, the total mechanical energy remains constant, as energy is conserved.

Kinetic energy is proportional to the square of the velocity; if velocity doubles, kinetic energy increases by a factor of four.

Kinetic energy is greatest at the lowest point of the pendulum's swing.

Potential energy is greatest at the highest points of the pendulum's swing.

The principle states that in the absence of non-conservative forces (like friction), the total mechanical energy of a system remains constant.