1. What is mechanical energy rules (forms and transformation) 2. State and explain the Law of Conservation of Mechanical Energy 3. What are the different forms of mechanical energy and give its meaning.

Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy (energy of motion) or potential energy (stored energy of position).

• Kinetic Energy: It is the energy of an object due to its motion. It depends on the speed and mass of the object. The formula for kinetic energy is KE = 1/2 mv^2, where m is mass and v is velocity.

• Potential Energy: It is the energy stored in an object due to its position. It depends on the height and mass of the object. The formula for potential energy is PE = mgh, where m is mass, g is the acceleration due to gravity, and h is height.

The Law of Conservation of Mechanical Energy states that the total mechanical energy (i.e., the sum of potential and kinetic energy) in a system remains constant if the only forces doing work are conservative forces. Conservative forces are those forces for which work done does not depend on the path taken, like gravitational force.

For example, if an object is falling under the influence of gravity, the potential energy of the object decreases while its kinetic energy increases. However, the total mechanical energy remains constant.

As mentioned above, the two forms of mechanical energy are kinetic energy and potential energy.

• Kinetic Energy: It is the energy that a body possesses due to its motion. For example, when a car is moving, it has kinetic energy.

• Potential Energy: It is the energy stored in an object due to its position or configuration. For example, a stretched spring or a stone at a height has potential energy due to its position.