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

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2