A block having mass m and charge +Q is connected to an insulating spring having

Question

A block having mass m and charge +Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed in a uniform electric field of magnitude E directed as shown in the figure below. The block is released from rest when the spring is unstretched (at x = 0). We wish to show that the ensuing motion of the block is simple harmonic.

(a) What kinds of potential energy exist within this system? (Select all that apply.)

a-elastic potential energy

b-kinetic energy

c-gravitational potential energy

d-electrical potential energy

(b) How does the period depend on the electric field magnitude?

______________________________________________________________________________________.

Explanation / Answer

a) a, b and d exist in the system.

b)The period does not depend on the electric field magnitude. This is because the force due to the field is independent of the displacement of the block.

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