Question

Which of the following statements is/are true?Check all that apply.a. A dissipative interaction permits a two-way conversion between kinetic and potential energies. b. A nondissipative interaction permits a two-way conversion between kinetic and potential energies. c. A potential energy function can be specified for a dissipative interaction. d. A potential energy function can be specified for a nondissipative interaction.

Answer 1

Answer:

a. A dissipative interaction permits a two-way conversion between kinetic and potential energies.

FALSE

in dissipative type of forces energy is not conserved so it is not possible

b. A nondissipative interaction permits a two-way conversion between kinetic and potential energies.

TRUE

in non dissipative type of force there is no energy loss so we can use energy conservation

c. A potential energy function can be specified for a dissipative interaction.

FALSE

Here potential energy is not defined for dissipative type of forces

d. A potential energy function can be specified for a nondissipative interaction.

TRUE

negative gradient of potential energy is equal to non dissipative type of forces

$F = -\frac{dU}{dr}$

Answer 2

The statements that are true include:

• B. A nondissipative interaction permits a two-way conversion between kinetic and potential energies.

• D. A potential energy function can be specified for a nondissipative interaction.

While potential energy is known as stored energy, the kinetic energy is regarded as the energy due to motion.

A nondissipative interaction permits a two-way conversion between kinetic and potential energies. In such a case, since there's no energy loss, there's conservation of energy. Also, a potential energy function can be specified for a nondissipative interaction.

In conclusion, the correct options are B and D.

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