To determine which group's data agree with energy being conserved, we need to check if the change in energy values fall within the range of ±2Ax. However, the table provided does not include the uncertainties for the change in energy values. Without this information, we cannot determine which group's data agree with energy being conserved.
The groups' data that agree with momentum being conserved can be determined by checking if the change in momentum values fall within the range of ±2Ax. Here is an analysis of each group:
- Group 1: The change in momentum is 0.1 kg·m/s with an uncertainty of 0.06 kg·m/s. Since zero falls within ±2Ax, we can say that the data agrees with momentum being conserved for Group 1.
- Group 2: The change in momentum is -0.04 kg·m/s with an uncertainty of 0.05 kg·m/s. Since zero does not fall within ±2Ax, we cannot say that the data agrees with momentum being conserved for Group 2.
- Group 3: The change in momentum is -0.03 kg·m/s with an uncertainty of 0.03 kg·m/s. Since zero does not fall within ±2Ax, we cannot say that the data agrees with momentum being conserved for Group 3.
- Group 4: The change in momentum is 0.04 kg·m/s with an uncertainty of 0.01 kg·m/s. Since zero falls within ±2Ax, we can say that the data agrees with momentum being conserved for Group 4.
- Group 5: The change in momentum is 0.01 kg·m/s with an uncertainty of 0.00 kg·m/s. Since zero falls within ±2Ax, we can say that the data agrees with momentum being conserved for Group 5.
Based on the given data, Groups 1, 4, and 5 have data that agree with momentum being conserved.