**From the left table of contents click on:**

*Conservation of Energy in a Spring-Mass System*

**You may want to listen to the Audio Intro before you start with the simulation.**

**PART 1. SPRING CONSTANT**

**- Set the mass at 5 kg and click ****PLAY**

**- Collect the necessary data to calculate the Spring Constant (k). **

** Show all your work.**

**PART 2. INITIAL VELOCITY = 0 m/s**

**Click ****RESET ****and ****CLEAR TRACE**** and use the ****STEP FORWARD**** button to collect the following data:**

**- Step forward the animation to x = 0 m**

**- Read and record the following values:Velocity (from the velocity-time graph), Translational KE, Spring PE, Gravitational PE and Total Energy **

**- Step forward the animation to x = - 0.5 m**

**Read and record the following values:Velocity (from the velocity-time graph), Translational KE, Spring PE, Gravitational PE and Total Energy **

**- Step forward the animation to x = 0.5 m**

**Read and record the following values:**

**Velocity (from the velocity-time graph), Translational KE, Spring PE, Gravitational PE and Total Energy **

**ANALYSIS AND CALCULATIONS**

**1. ****What kind(s) of energy is present initially?**

**2. ****Write the equation(s) and calculate the initial energy.**

**3.**** When the displacement is zero (x = 0), what kinds of energy are present?**

**4. ****Write the equation of the total energy (when x = 0) and calculate its value.**

**5. ****From the equation above, solve for the velocity (show all your work).**

**6. ****When the displacement is at a maximum (x = - 0.5 m), what kinds of energy are present? ****7. ****How will the equations compare if the displacement was x = 0.5 m?**

**8. ****Write the equation of the total energy (when x = -0.5 m) and calculate its value.**

**9. ****How will the values compare if the displacement was x = 0.5 m?**

**PART 3. SET THE INITIAL VELOCITY = 1 m/s**

**Repeat steps the procedure and answer the same questions for the new set of data.**

**CONCLUSIONS**

**1. ****How well do the data and results agree with the graph? Give a detailed explanation.**

**2. ****How do the values of Spring PE, Translational KE, Gravitational PE and Total Energy compare with the change of initial velocity? Explain.**

**3.**** If the initial velocity is zero, how will the values of Spring PE, Translational KE, Gravitational PE and Total Energy compare **

**if the mass was doubled?**