Correct statement regarding the load vs length graph of a rubber band

In summary, the correct statement is that the total work done on the rubber band during one cycle of stretch and release is positive, as the energy is received by the rubber band when it is being stretched and is released when it goes back to its natural length. The area between the graphs represents the energy dissipated as heat, and the work done in stretching the rubber band will be higher than when releasing it.
  • #1
songoku
2,294
325
Homework Statement
The graph of load vs length of a rubber band will consist of two parts, stretching and contracting. The graph of stretching part will be above the contracting part and both graphs are not linear. The graph of stretching part is obtained when and increasing load is applied and the graph of contracting part is obtained when the load is gradually decreased. Which statement is correct?
a. The total work done on the rubber band during one cycle of stretch and release is 0
b. Energy is released from the rubber band when it is stretched
c. The total work done on the rubber band during one cycle of stretch and release is positive
d. Energy is received by the rubber band when it goes back to the natural length
e. The total work done on the rubber band during one cycle of stretch and release is negative
Relevant Equations
Not sure
Option (B) is wrong because energy should be received by rubber band when it is being stretched
Option (D) is wrong because energy should be released by rubber band when it goes back to natural length

The area between graph of stretching and contracting represents energy dissipated in rubber band as heat during one cycle (the temperature of rubber band will increase) so I think work done in stretching it will be higher than when releasing it and the answer is (C)?

Thanks
 
Physics news on Phys.org
  • #2
songoku said:
Homework Statement:: The graph of load vs length of a rubber band will consist of two parts, stretching and contracting. The graph of stretching part will be above the contracting part and both graphs are not linear. The graph of stretching part is obtained when and increasing load is applied and the graph of contracting part is obtained when the load is gradually decreased. Which statement is correct?
a. The total work done on the rubber band during one cycle of stretch and release is 0
b. Energy is released from the rubber band when it is stretched
c. The total work done on the rubber band during one cycle of stretch and release is positive
d. Energy is received by the rubber band when it goes back to the natural length
e. The total work done on the rubber band during one cycle of stretch and release is negative
Homework Equations:: Not sure

Option (B) is wrong because energy should be received by rubber band when it is being stretched
Option (D) is wrong because energy should be released by rubber band when it goes back to natural length

The area between graph of stretching and contracting represents energy dissipated in rubber band as heat during one cycle (the temperature of rubber band will increase) so I think work done in stretching it will be higher than when releasing it and the answer is (C)?

Thanks
Yes.
 
  • Like
Likes songoku
  • #3
Thank you very much haruspex
 

1. What is the purpose of a load vs length graph for a rubber band?

The load vs length graph for a rubber band is used to show the relationship between the load or weight applied to a rubber band and its resulting length. This can help determine the elastic properties of the rubber band and how it behaves under different loads.

2. How is the load vs length graph of a rubber band created?

To create a load vs length graph for a rubber band, you will need a rubber band, a ruler, and a weight scale. First, measure the initial length of the rubber band with the ruler. Then, add weights to the rubber band in increments, measuring the length of the rubber band at each weight. Plot the data points on a graph to create a load vs length curve.

3. What does the slope of a load vs length graph represent?

The slope of a load vs length graph for a rubber band represents the stiffness or elasticity of the rubber band. A steeper slope indicates a higher stiffness, while a flatter slope indicates a lower stiffness. This can be useful in determining the strength and durability of the rubber band.

4. Can the load vs length graph of a rubber band be used to predict its behavior under unknown loads?

Yes, the load vs length graph of a rubber band can be used to make predictions about its behavior under unknown loads. By extrapolating the data on the graph, you can estimate the length of the rubber band at different weights. However, it is important to note that this prediction may not be entirely accurate as the behavior of rubber bands can vary depending on factors such as temperature and age.

5. How can the load vs length graph of a rubber band be useful in real-world applications?

The load vs length graph of a rubber band can be useful in various real-world applications. For example, it can be used in the design of rubber band-powered machines or in the production of rubber bands for specific purposes. It can also be helpful in understanding the behavior of rubber bands in different environments, such as in extreme temperatures or under varying levels of stress.

Similar threads

Calculating the elastic potential energy from a force-extension investigation
    • Introductory Physics Homework Help
Replies
16
Views
2K
How stretching a rubber band, affects the range of a shot?
    • Introductory Physics Homework Help
Replies
7
Views
4K
Equation of state of a rubber band
    • Introductory Physics Homework Help
Replies
13
Views
7K
Physics Lab Questions: Rubber Band & Force Probe
    • Introductory Physics Homework Help
Replies
7
Views
2K
Why does stretching a rubber band increase its temperature?
    • Thermodynamics
Replies
2
Views
2K
Entropic Force - Heat Transfer Mechanism
    • Thermodynamics
Replies
5
Views
1K
Force acting on a spring (rubber band)
    • Introductory Physics Homework Help
Replies
1
Views
3K
I I would like a better understanding of friction and hysteresis
    • Classical Physics
Replies
5
Views
1K
Experiment regarding two pendulums which are linked
    • Introductory Physics Homework Help
Replies
1
Views
2K
Correct statement regarding the graph of binding energy per nucleon
    • Introductory Physics Homework Help
Replies
11
Views
1K

Hot Threads

Recent Insights

Back
Top