No, it is not possible for the frictional force to increase the mechanical energy of a system. In fact, friction always causes a decrease in mechanical energy.
To understand this, we need to understand what mechanical energy is. Mechanical energy is the sum of kinetic energy and potential energy in a system. Kinetic energy is associated with the motion of an object, while potential energy is associated with its position or condition.
Friction is a force that opposes the motion of objects in contact with each other. When an object moves against a surface with friction, work is done to overcome the frictional force. This work comes from the conversion of the object's kinetic energy into other forms of energy, such as heat and sound. As a result, the object loses kinetic energy, and therefore, its mechanical energy decreases.
Here are two examples to illustrate this:
1. Sliding down a hill: Imagine a child sliding down a hill on a sled. Initially, the child has potential energy due to their elevated position. As they slide down, some of their potential energy is converted into kinetic energy, which allows them to move faster. However, friction between the sled and the ground opposes their motion, causing the sled to slow down. As the sled slows down, its kinetic energy decreases, and some of it is converted into heat due to the frictional force. Therefore, friction reduces the mechanical energy of the system.
2. The braking process in a car: When you apply the brakes in a car, friction between the brake pads and the rotors causes the car to slow down. This frictional force converts the car's kinetic energy into heat energy. The car's mechanical energy decreases as a result, as the kinetic energy is being dissipated by the frictional force.
In both examples, friction acts to decrease the mechanical energy of the system by converting it into other forms of energy.