Which of the following statements is/are true?
check all that apply.

- a conservative force permits a two-way conversion between kinetic and potential energies.

- the work done by a conservative force depends on the path taken.

- a potential energy function can be specified for a nonconservative force.

- a potential energy function can be specified for a conservative force.

- the work done by a nonconservative force depends on the path taken.

- a nonconservative force permits a two-way conversion between kinetic and potential energies.
- a conservative force permits a two-way conversion between kinetic and potential energies.

- a potential energy function can be specified for a conservative force.

- the work done by a nonconservative force depends on the path taken.

- A conservative force permits a two-way conversion between kinetic and potential energies.  TRUE

- The work done by a conservative force depends on the path taken.  FALSE

- A potential energy function can be specified for a nonconservative force.  

FALSE

- A potential energy function can be specified for a conservative force.  TRUE

- The work done by a nonconservative force depends on the path taken.  TRUE

- A nonconservative force permits a two-way conversion between kinetic and potential energies.  TRUE

- A conservative force permits a two-way conversion between kinetic and potential energies. FALSE

- A potential energy function can be specified for a conservative force.  TRUE

- The work done by a nonconservative force depends on the path taken. TRUE

Explanation:

A conservative force permits a two-way conversion between kinetic and potential energies.  TRUE

The action of conservative force on a system can produce energy potential and kinetic. Example of this: the gravitational force. This claim that the work by extenal forces ( conservatives and non conservatives) is equal to the variation of kinetic energy of the system so the work made by  conservative forces can modify both potential and kinetic energy.

- The work done by a conservative force depends on the path taken.  FALSE

This kind of force can be obtained from potential function so the work made by this kind of force depend only to initial and final point of teh path made.

 - A potential energy function can be specified for a nonconservative force.  

FALSE

Considering that the work made by kind of force depend of the taken path they kind of forces can not be determined by a potential fuction.

- A potential energy function can be specified for a conservative force.  TRUE

This is as consequence of the definition of conservative force that it can be determined from a potential function.

- The work done by a nonconservative force depends on the path taken.  TRUE

This kind of force can not be obtained from potential function so the work made by this kind of force depend of the path taken to do this.

- A nonconservative force permits a two-way conversion between kinetic and potential energies.  TRUE

A nonconservative force permits conversion to kinetic energy plus potential energy during it made work over the system.  This statement is supported by taking into account the energy conservation for system, this claim that the work by extenal forces ( conservatives and non conservatives) is equal to the variation of kinetic energy of the system so the work made by non conservative forces can modify both potential and kinetic energy.

- A conservative force permits a two-way conversion between kinetic and potential energies. FALSE

As the conservative force is determined  from a potential function it can only modify the potential energy of the system.

- A potential energy function can be specified for a conservative force.  TRUE

This is as consequence of the definition of conservative force that it can be determined from a potential function.

- The work done by a nonconservative force depends on the path taken. TRUE

This kind of force can not be obtained from a potential function so the work made by this kind of force depend of the path taken.