Several studies indicate that the elastic properties of tendons can change in response to exercise. In one study, guinea fowl were divided into a group that ran for 30 minutes a day on a treadmill, and a control group that was kept in their cages. After 12 weeks, the researchers measured the mechanical properties of the gastrocnemius tendon in each bird. The results for one control bird and one treadmill bird are shown in (Figure 1). A: Treating the tendon as an ideal spring, what is the force constant for the control bird? Express your answer to two significant figures and include appropriate units. B: By how much does the control bird’s tendon need to be stretched in order to have the same amount of stored energy as the tendon of the treadmill bird at a deformation of 2.0 mm? Express your answer to two significant figures and include appropriate units.
Several studies indicate that the elastic properties of tendons can change in response to exercise. In one study, guinea fowl were divided into a group that ran for 30 minutes a day on a treadmill, and a control group that was kept in their cages. After 12 weeks, the researchers measured the mechanical properties of the gastrocnemius tendon in each bird. The results for one control bird and one treadmill bird are shown in (Figure 1). A: Treating the tendon as an ideal spring, what is the force constant for the control bird? Express your answer to two significant figures and include appropriate units. B: By how much does the control bird’s tendon need to be stretched in order to have the same amount of stored energy as the tendon of the treadmill bird at a deformation of 2.0 mm? Express your answer to two significant figures and include appropriate units.
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Several studies indicate that the elastic properties of tendons can change in response to exercise. In one study, guinea fowl were divided into a group that ran for 30 minutes a day on a treadmill, and a control group that was kept in their cages. After 12 weeks, the researchers measured the mechanical properties of the gastrocnemius tendon in each bird. The results for one control bird and one treadmill bird are shown in (Figure 1).
A:
Treating the tendon as an ideal spring, what is the force constant for the control bird?
Express your answer to two significant figures and include appropriate units.
B:
By how much does the control bird’s tendon need to be stretched in order to have the same amount of stored energy as the tendon of the treadmill bird at a deformation of 2.0 mm?
Express your answer to two significant figures and include appropriate units.
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Transcribed Image Text:The graph presents a comparison of force versus deformation for two different conditions: "Control" and "Level."
### Description:
- **Axes:**
- The x-axis represents deformation in millimeters (mm), ranging from 0 to 4 mm.
- The y-axis represents force in newtons (N), ranging from 0 to 120 N.
- **Lines:**
- The **blue line**, labeled as "Control," shows a linear relationship, indicating that as deformation increases, the force increases steadily. This line reaches 120 N at around 3 mm of deformation.
- The **red line**, labeled as "Level," is steeper initially but flattens out quickly. It indicates that the force increases rapidly with a small deformation and reaches around 100 N by approximately 1 mm of deformation.
### Insights:
- The data suggests that under the "Level" condition, a higher force is exerted with less deformation compared to the "Control" condition.
- The "Control" condition follows a more gradual increase, requiring more deformation to achieve the same force levels compared to "Level."
This graph can be utilized to understand material behavior and characteristics under different testing conditions.
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