Which of the following statements is/are true? check all that apply. a. a potential energy function can be specified for a conservative force. b. a nonconservative force permits a two-way conversion between kinetic and potential energies. c. the work done by a nonconservative force depends on the path taken. d. a potential energy function can be specified for a nonconservative force. e. a conservative force permits a two-way conversion between kinetic and potential energies. f. the work done by a conservative force depends on the path taken.

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

TRUE

because there is no loss of energy in conservative type of forces.

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

FALSE

It is not true because energy is not conserved in non-conservative forces.

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

TRUE

It depends on total path length while in conservative it only depends on initial and final state

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

FALSE

Since energy is not stored in non-conservative forces so it is not defined for non conservative forces

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

TRUE

Work done against conservative forces is stored in form of potential energy so it is possible to have two way conversion.

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

FALSE

Conservative force work depends only on initial and final state

if they have a finite resultant