: FALSE
The work done by a nonconservative force can vary depending on the path taken because nonconservative forces can cause energy to be lost or gained as an object moves along different paths. This means that the work done by a nonconservative force may be different for different paths, leading to varying amounts of energy being transferred to or from the object.
Force is path-independent – it only depends on the starting and ending points, not the path taken. The work done by a force only depends on the displacement of an object, not the specific path taken.
No, the force in tension of a string is not conservative. The only non-conservative force acting is the tension force, but it acts perpendicular to the path of the object at every instant, and so it does zero work.
A conservative force is one in which the work done does not depend on the path taken between two points. This means that the work done by a conservative force in moving an object between two points is the same regardless of the specific route or trajectory followed. Examples of conservative forces include gravity and electrostatic forces.
The shortest path from a starting point to an endpoint regardless of the path taken is called the "optimal path" or "minimum path." This path minimizes the distance, time, or cost required to reach the endpoint.
The work done by a nonconservative force can vary depending on the path taken because nonconservative forces can cause energy to be lost or gained as an object moves along different paths. This means that the work done by a nonconservative force may be different for different paths, leading to varying amounts of energy being transferred to or from the object.
Force is path-independent – it only depends on the starting and ending points, not the path taken. The work done by a force only depends on the displacement of an object, not the specific path taken.
No, the force in tension of a string is not conservative. The only non-conservative force acting is the tension force, but it acts perpendicular to the path of the object at every instant, and so it does zero work.
A conservative force is one in which the work done does not depend on the path taken between two points. This means that the work done by a conservative force in moving an object between two points is the same regardless of the specific route or trajectory followed. Examples of conservative forces include gravity and electrostatic forces.
The shortest path from a starting point to an endpoint regardless of the path taken is called the "optimal path" or "minimum path." This path minimizes the distance, time, or cost required to reach the endpoint.
resultant displacement
This property is known as path independence. It means that the work done by the conservative force only depends on the initial and final positions of an object, not the path taken in between. This is a key characteristic of conservative forces like gravity and electromagnetic forces.
No, the work done on an object by a conservative force does not depend on the path taken by the object.
Yes, Coulomb's law is an example of a conservative force. A conservative force is one in which the energy required to move a particle (subject to this force) from one point in space to another is independent 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 is not path dependent. A conservative force is a force with the property that the work done in moving a particle between two points is independent of the taken path.
Non-conservative forces are path-dependent and can change an object's total mechanical energy. These forces include friction, air resistance, and tension in a rope. When these forces do work on an object, they contribute to the overall change in energy of the system.