Conservative Forces and Work Done

The video tutorial explains the concept of work done by conservative forces, emphasizing that such work is path independent. It introduces examples of conservative forces, including gravitational, electric, and spring forces. The tutorial further elaborates on the property of path independence, demonstrating that the work done by a conservative force on a closed path is zero.

What is a key characteristic of a conservative force?

• It is always attractive.

• It only acts over short distances.

• It depends on the path taken.

• It is path independent.

Which of the following is NOT an example of a conservative force?

• Frictional force

• Inverse-square electric force

• Spring force

• Gravitational force

Which of the following statements is true about gravitational force near the Earth's surface?

• It is a conservative force.

• It only acts in a vacuum.

• It depends on the velocity of the object.

• It is a non-conservative force.

Which force is characterized by an inverse-square law and is conservative?

• Magnetic force

• Frictional force

• Inverse-square electric force

• Nuclear force

What does path independence imply about the work done by a conservative force?

• It varies with the speed of the object.

• It is the same regardless of the path taken.

• It is zero for all paths.

• It depends on the mass of the object.

How does the work done by a conservative force relate to its endpoints?

• It only depends on the final point.

• It only depends on the initial point.

• It is independent of the endpoints.

• It depends on the path between the endpoints.

What happens to the work done if the endpoints of a path are shifted for a conservative force?

• The work done changes.

• The work done remains zero.

• The work done becomes negative.

• The work done becomes positive.

If a force is conservative, what is the work done around a closed path?

• It depends on the shape of the path.

• It is zero.

• It is negative.

• It is positive.

What is the significance of a closed path in the context of conservative forces?

• It proves that force is non-conservative.

• It indicates that energy is lost.

• It demonstrates that work done is zero.

• It shows that work done is always positive.

What is the result of integrating a conservative force over a closed path?

• A negative value

• Depends on the path

• A positive value

• Zero