An engineer investigates how a newly developed elastomeric rehabilitation band stretches under different tension forces. The engineer's results are shown in the table below:
| Force (N) | Extension (m) |
|---|---|
| 0 | 0.000 |
| 25 | 0.200 |
| 50 | 0.4 |
| 75 | 0.600 |
| 100 | 0.800 |
The engineer has made an administrative error when recording the experimental results.
Identify the mistake and suggest how it should be corrected.
Calculate the spring constant (stiffness) of the band.
Give your answer to two significant figures.
Use the equation: force=extension×spring constant\text{force} = \text{extension} \times \text{spring constant}force=extension×spring constant
Calculate the elastic strain energy transferred to the band when it is stretched with a force of 100 N100\text{ N}100 N.
A 500 N500\text{ N}500 N force is subsequently applied to the band. Suggest what extension the band would have if it does not exceed its elastic limit.
When a tension of 850 N850\text{ N}850 N is applied, the band exceeds its elastic limit. Explain what this means.