The students conduct experiment 2 in which the same block is connected to the same spring on a horizontal surface. The spring is stretched a distance L2 beyond its natural length and released from rest, allowing the block-spring system to oscillate. Frictional forces are considered to be negligible. Which of the following claims is correct about how the period of oscillation for the block-spring system in experiment 2 compares with the period of oscillation for the system in experiment 1, and what evidence supports the claim?

the period does not change

Explanation:

In a system of connected spring and mass I was able to oscillate in a simple harmonic motion that is described by

          x = A cos (wt + Ф)

Where A is the amplitude of movement, w the angular velocity and Ф the initial phase.

Angular velocity is given by

         w² = k / m

The angular velocity eta related to frequency

          w = 2π f

Frequency and period are inverses

           f = 1 / T

We substitute

     4π² / T² = k / m

          T = 2π √m/k

As we ask to see the period does not depend on the amplitude, nor on the initial displacement, so the period does not change