Conservative Force Formula

The formula of a conservative force is given as

Fc = – dU/ds

where,

  • Fc = conservative force
  • U = Potential energy
  • s = position

Conservative Force and Potential Energy

A conservative force is a force that only depends on the initial and final position of the moving path and not dependent on the total path travelled.

Potential energy is a type energy that depends a system’s position, shape, or configuration. It is a stored type energy which is completely recoverable.

Potential energy is denoted as PE and it is defined for any conservative forces. During the work done by a conservative force, the object reach the final configuration. Conservative force depends on the final configuration and that configuration adds potential energy.

For a conservative force, the mechanical energy is the sum of kinetic energy and potential energy. When a conservative force acts on a body, the total mechanical energy remains constant. It defined that the conservative force obeys the law of mechanical energy.

KEi + PEi = KEf + PEf = Constant

Conservative Forces – Definition, Formula, Examples

Conservative Force is a type of force which is independent of path taken to do a work. This means when an when force applied in moving an object from one position to another is the same irrespective of the path taken, it is called conservative force. A force is a push or pull acting on an object. In our surroundings, several forces exist. Conservative forces include magnetic force, gravitational force, etc.

In this article, we will learn in detail about conservative force, its definition, formula, and examples. We will also compare conservative and non-conservative forces.

Table of Content

  • What is a Conservative Force?
  • Work Done by a Conservative Force
  • Conservative Force Formula
  • Conservative and Non-Conservative Forces
  • Difference between the Conservative Force and Non-conservative Force

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What is a Conservative Force?

Conservative force is a type of force with the special property that the total work done on a moving object is not dependent upon the path travelled. Conservative force is dependent upon the initial and final points of the path covered. When an object is moving in a closed loop, the total work done by the conservative force is zero. Because in a closed loop or circular path, if a particle completes a complete move, it means it came to the initial point. So the initial point and final point are the same in this case. Thus, the work done is zero by the conservative force. This force is not dependent on the path that is covered by an object. The conservative force follows the theories of the law of conservation of energy and the conservation of kinetic energy....

Work Done by a Conservative Force

The total work done by a conservative force is referred as the work done by an object when a conservative force acting upon the object. To calculate the work done by a conservative force, we have to find out the magnitude of the force and the displacement of the body. Once we find out the magnitude of the force and the displacement of object, then multiply the magnitude of the force by the travelled distance of the object. The final value after multiplication is the total work done by the force....

Conservative Force Formula

The formula of a conservative force is given as...

Conservative and Non-Conservative Forces

In contrast to conservative forces, non-conservative force are the force that depends on the path covered by a body. Non conservative force is also depends on the final and initial position of the body....

Difference between the Conservative Force and Non-conservative Force

The detailed difference between conservative and non-conservative force is tabulated below:...

Conclusion

Through this article, we learnt and got adequate knowledge on Conservation force and Non-conservative force, the major differences between them. Like these forces, there are many forces available in our surroundings. Force is a very important term in physics....

Conservative Forces FAQs

What is meant by a Conservative force?...