Complete the table below using data found under the Activity-Form tab.

Ball 1 Mass (kg)0.200

Ball 2 Mass (kg)0.250

Table II - Launch Without Ramp

Complete the table below using data from Table I, data from your Energy Plots (see the Energy Plots tab), and information found under the Background tab.

Note: Be very careful with units to get correct answers! 1.00 cm = 0.0100 m, 100 mJ = 0.100 J.

Spring Trial Compression Distance (m) Spring PE (J) K (J/m²) Max KE (J)Max Vel (m/s)

110.090.47385 ? 0.47385 ?

2 0.090.47385 ? 0.47385 ?

2 1 0.090.33615 ? 0.33615 ?

2 0.090.33615 ? 0.33615 ?

Sample Calculation: Show your spring constant calculation for spring 1 (Trial 1).

Sample Calculation: Show your maximum velocity calculation for spring 2 (Trial 2).

Observations and Questions

[1] Based on your Combined Energy Plot from one of your Table II data runs, is mechanical energy conserved? Use details from your plot to support your answer.

Table III - Launch using Ramp - Never Airborne

Complete the table below using data from Table I, data from your Energy Plots (see the Energy Plots tab), and information found under the Background tab.

Note: Be very careful with units to get correct answers! 1.00 cm = 0.0100 m, 100 mJ = 0.100 J

Spring Ball Compression Distance (m) Spring PE (J) Max Ramp PE (J) Max Ramp Height (m)

2 1 0.065 0.17534 0.17534 ?

2 0.072 0.21514 0.21514 ?

Sample Calculation: Show your maximum ramp height calculation for spring 2 (ball 1).

Observations and Questions

[1] Explain why the spring potential energy and maximum ramp potential energy are the same for a particular data run. If not, provide a possible explanation.

[2] Based on your Combined Energy Plot, is mechanical energy conserved? Use details from this plot to support your answer. Give specific locations on the plot (times, etc.) to back up your arguments.

Table IV - Airborne Launch using Ramp - Single Bounce

Complete the table below using data from Table I, data from your Energy Plots (see the Energy Plots tab), and information found under the Background tab.

Note: Be very careful with units to get correct answers! 1.00 cm = 0.0100 m, 100 mJ = 0.100 J

Spring Ball Compression Distance (m) Spring PE (J) Max Airborne PE (J) Max Height (m) KE to Max Height (J) Max Height Velocity (m/s)

1 1 0.071 0.02949 0.21906 ? 0.2949? ?

2 0.08 0.3744 0.2759 ? 0.2759? ?

Sample Calculation: Show your maximum height calculation for ball 1.

Sample Calculation: For ball 1, show your calculations for kinetic energy and velocity at maximum height. Hint: use Max Airborne PE and conservation of energy to determine KE at Max Height.

Observations and Questions

[1] The spring potential energy and maximum airborne potential energy are not equal in table IV. Provide an explanation for the difference.

[2] Based on your Combined Energy Plots for ball 1 and ball 2, is mechanical energy conserved for both balls? Use details from these plots to support your answers. Give specific locations on the plot (times, etc.) to back up your arguments.

Table V - Airborne Launch with Multiple Bounces

Complete the table below using data from Table I, data from your Energy Plots (see the Energy Plots tab), and information found under the Background tab.

Tip: Your Potential Energy Plot is most useful for completing this table.

Note: Be very careful with units to get correct answers! 1.00 cm = 0.0100 m, 100 mJ = 0.100 J

Spring Ball Compression Distance (m) Max Airborne PE (J) Max PE After Bounce (J)Coefficient of Restitution

2 1 0.72 0.19035 0.19035 ?

2 0.81 0.23914 0.23914 ?

Sample Calculation: Show your coefficient of restitution calculation for ball 1.

Sample Calculation: Show your coefficient of restitution calculation for ball 2.

Observations and Questions

[1] The maximum potential energy before and after bouncing might not be equal for both balls in table V. Provide an explanation for any differences.

[2] Based on your Combined Energy Plots for ball 1 and ball 2, is mechanical energy conserved for both balls? Use details from these plots to support your answers. Give specific locations on the plot (times, etc.) to back up your arguments.