Which of the following statements are true? (Select all that apply.): 1.If only

Question

Which of the following statements are true? (Select all that apply.):

1.If only conservative forces act on a particle, the kinetic energy of the particle cannot change.

2.If, for a particle constrained to the x axis, the potential energy associated with a conservative force decreases as the particle moves to the right, then the force points to the left.

3.The work done by a conservative force equals the change in the potential energy associated with that force.

4.None of the other statements are true.

5.If, for a particle constrained to the x axis, a conservative force points to the right, then the potential energy associated with the force increases as the particle moves to the left.

6.Only conservative forces can do work.

Explanation / Answer

Here ,

the statements that are true are :

5.If, for a particle constrained to the x axis, a conservative force points to the right, then the potential energy associated with the force increases as the particle moves to the left.

as the force applied on the object is given as

F = - dU/dx

hence , the force points in the direction of decrease of potential energy

hence , the force is to the right , the potential energy increases to the left

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