Mechanical energy is the energy possessed by an object due to its motion or its position. It is the sum of kinetic energy and potential energy in an object. Kinetic energy is the energy of motion, while potential energy is the energy associated with an object's position or state.
Kinetic energy is the energy an object possesses due to its motion. The formula for kinetic energy is:
KE = 1/2 * m * v^2
Where:
KE = kinetic energy
m = mass of the object
v = velocity of the object
Potential energy is the energy stored in an object due to its position or state. The formula for potential energy depends on the specific type of potential energy, such as gravitational potential energy or elastic potential energy.
The gravitational potential energy of an object near the surface of the Earth can be calculated using the formula:
PE = m * g * h
Where:
PE = potential energy
m = mass of the object
g = acceleration due to gravity
h = height of the object above a reference point
The elastic potential energy of an object, such as a spring, can be calculated using the formula:
PE = 1/2 * k * x^2
Where:
PE = potential energy
k = spring constant
x = displacement from the equilibrium position
According to the law of conservation of energy, the total mechanical energy of an object remains constant if only conservative forces (such as gravity or spring forces) are acting on it. This means that the sum of the kinetic and potential energies in a system remains constant, unless non-conservative forces (such as friction) are present.