Because in conservative field the total energy is conserved therefore the work is zero
In a conservative field, the work done by a particle moving between two points depends only on the initial and final positions and is independent of the path taken. This means that the work done is path-independent and can be calculated using the potential energy difference between the two points. Examples of conservative fields include gravitational and electrostatic fields.
Yes, the work done by a gravitational field is independent of the path followed by an object. This is because gravity is a conservative force, meaning the work done only depends on the initial and final positions of the object and not on the path taken between the two points.
Yes, the gravitational field is conservative. This means that the work done by gravity on an object moving between two points is independent of the path taken, only depending on the initial and final positions. This conservation of energy is a fundamental principle in physics.
Yes, work done by a conservative force is path independent. The work only depends on the initial and final positions of the object and not on the specific path taken between them. This is a key property of conservative forces.
Yes, Coulomb's law describes conservative forces because the work done by the electric force moving a charge in an electric field is path-independent. This means that the work done in moving the charge from one point to another is the same, regardless of the path taken.
Central force fields are conservative because the force depends only on the distance between the object and the source of the force, regardless of the path taken by the object. This results in the work done by the force being independent of the path taken, leading to a conservative force field. This property allows for the definition of a potential energy associated with the system.
Yes, the magnetic field is a non-conservative field. This means that the work done by a magnetic field on a charged particle moving in a closed path is generally not zero, unlike a conservative field where work done in a closed path is zero.
Yes, a magnetic field is a conservative field. This means that the work done by a magnetic field around a closed path is zero, indicating that the energy is conserved in the system.
Yes, the work done by a gravitational field is independent of the path followed by an object. This is because gravity is a conservative force, meaning the work done only depends on the initial and final positions of the object and not on the path taken between the two points.
Yes, the gravitational field is conservative. This means that the work done by gravity on an object moving between two points is independent of the path taken, only depending on the initial and final positions. This conservation of energy is a fundamental principle in physics.
Yes, work done by a conservative force is path independent. The work only depends on the initial and final positions of the object and not on the specific path taken between them. This is a key property of conservative forces.
Yes, Coulomb's law describes conservative forces because the work done by the electric force moving a charge in an electric field is path-independent. This means that the work done in moving the charge from one point to another is the same, regardless of the path taken.
Central force fields are conservative because the force depends only on the distance between the object and the source of the force, regardless of the path taken by the object. This results in the work done by the force being independent of the path taken, leading to a conservative force field. This property allows for the definition of a potential energy associated with the system.
A conservative force field is a field in which total energy is conserved. More formally, in a conservative field, the work done in moving between two points in the field depends only on the location of these two points and not the path taken between them. The work done in going from one point to another is equal and opposite to the work done in taking the journey in reverse.A good way to understand the difference between conservative and non-conservative forces is to imagine a simple pendulum, on Earth (i.e. in a gravitational field) swinging back and forth. In the absence of any external forces other than gravity, the pendulum's total energy would be conserved and it would keep swinging with the same amplitude forever. All the kinetic energy it loses in rising up against gravity is gained back as it swings back down again; the work done on the return journey is equal and opposite.However, for a real pendulum, this is not the case since it is also subject to non-conservative forces such as friction between the pendulum and its pivot. Such a force does not conserve total energy as the kinetic energy it loses due to friction when swinging one way is not gained back as it makes the return journey. Instead, it loses more kinetic energy and the friction force dissipates energy from the pendulum to its surroundings, causing the size of the swings to decrease over time.
The induced electric field tends to oppose the change in magnetic flux that causes it, in accordance with Faraday's law of electromagnetic induction. This conservative nature of the induced electric field ensures that the total electromagnetic field obeys the principle of conservation of energy. This property is fundamental for understanding electromagnetic phenomena and plays a crucial role in various applications, such as transformers and electric generators.
Potential energy is energy stored when work is done in a conservative force field. Basically, this means the energy cna be recovered. For example, this might be a gravitational field. You require energy (work) to push something up, but you can recover work when it falls back down. Another example of potential energy is energy stored in a spring.
The idea is to multiply force times distance. This assumes that both are in the same direction, and that the force is constant. If the force is done against a gravitational field, or some other so-called "conservative force", then all the work done will be converted to potential energy. If it is done against friction, the work is basically wasted. It is converted to heat, and NOT to potential energy.
No, the work done to lift a book onto a shelf does not depend on the path taken. The work done is determined by the height the book is lifted to and the force needed to lift it against gravity, not the specific path taken.