Item RG132002: When comparing three springs, the spring that is harder to stretch will have more elastic potential energy than the other springs if they are all stretched the same amount.
A student has three springs and would like to compare the elastic potential energy the springs have when stretched. He stretches all three springs 5 cm and lets go, which allows them to go back to their unstretched lengths. He makes several observations about each spring and records his observations in the table below:
| Spring | How difficult to stretch? | Unstretched Length | Weight |
| 1 | Easiest to stretch | Shortest | In between 2 and 3 |
| 2 | Hardest to stretch | In between 1 and 3 | Lightest |
| 3 | In between 1 and 2 | Longest | Heaviest |
Based on his findings, the student decides that Spring 3 has the most elastic potential energy. Is the student’s conclusion accurate?
- Yes, Spring 3 has the most elastic potential energy because the heavier a spring is the more elastic potential energy it has.
- Yes, Spring 3 has the most elastic potential energy because the longer a spring is the more elastic potential energy it has.
- No, Spring 1 has the most elastic potential energy because the easier a spring is to stretch, the more elastic potential energy it has.
- No, Spring 2 has the most elastic potential energy because the harder a spring is to stretch, the more elastic potential energy it has.
- Distribution of Responses
- Scale Score for Item Difficulty
(200[Easy]-800[Difficult]) - 535
- Students Responding Correctly
| Group | Correct | Total | Percent |
|---|---|---|---|
| Overall | 1179 | 4716 | 25% |
| Grades | |||
| 4–5 | 143 | 721 | 20% |
| 6–8 | 477 | 1964 | 24% |
| 9–12 | 559 | 2031 | 28% |
| Gender | |||
| Male | 570 | 2117 | 27% |
| Female | 571 | 2456 | 23% |
| Primary Language | |||
| English | 1069 | 4245 | 25% |
| Other | 76 | 302 | 25% |

