Question

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

Answer 1

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

TRUE

Because there is no energy loss in presence of conservative forces so energy conversion in two ways are possible.

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

TRUE

negative gradient of potential energy is equal to conservative force

`F = -(dU)/(dr)`

c). A non-conservative force permits a two-way conversion between kinetic and potential energies.

FALSE

here energy is lost against non-conservative forces

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

FALSE

work done by conservative force is independent of path

e). The work done by a non-conservative force depends on the path taken.

TRUE

work done by non conservative forces depends on path.

f). A potential energy function can be specified for a non-conservative force.

FALSE

It is not defined for non conservative forces