Work, Energy & Power || Lecture - 09 || Manish Raj Sir || Class 11 || Physics || NEET
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Topic Briefly Discussed
Conservative Force
A conservative force is a type of force in physics that is associated with the potential energy of an object. When an object is subject to a conservative force, the work done by the force on the object is path-independent, meaning that the work done on the object depends only on its initial and final positions and not on the path taken between them.
Examples of conservative forces include gravitational force, elastic force, and electric force in a uniform electric field. These forces can be described mathematically by a potential energy function, which is a scalar function that depends only on the position of the object and not on its velocity or time.
The potential energy associated with a conservative force is defined as the negative of the work done by the force on an object as it moves from an initial position to a final position without any change in kinetic energy. Mathematically, the potential energy (U) is expressed as:
U = -W_c
where W_c is the work done by the conservative force.
Conservative forces have several important properties. One of the most important is that the total mechanical energy of an object subject to a conservative force is conserved, meaning that it remains constant over time. This is because the work done by the conservative force is converted into potential energy, which can be converted back into kinetic energy as the object moves under the influence of the force.
Another important property of conservative forces is that they give rise to the concept of a potential energy surface. This surface is a three-dimensional plot of the potential energy function, which shows how the potential energy of an object changes as it moves through different positions in space.
Conservative forces are important in many areas of physics and engineering, including mechanics, electromagnetism, and thermodynamics. They play a crucial role in understanding the behavior of physical systems and are used to solve a wide range of problems, such as predicting the motion of planets in a gravitational field, designing structures that can withstand stress and strain, and optimizing the performance of electrical circuits.
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