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

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SUMMARY

The discussion centers on the load vs length graph of a rubber band, specifically analyzing the energy dynamics during stretching and contracting. It is established that option (C) is correct, indicating that the total work done on the rubber band during one cycle of stretch and release is positive. The area between the stretching and contracting graphs represents energy dissipated as heat, confirming that energy is absorbed when the rubber band is stretched and released when it returns to its natural length. Options (B) and (D) are definitively incorrect based on these principles.

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  • Understanding of elastic potential energy
  • Familiarity with load vs length graphs
  • Knowledge of energy dissipation in materials
  • Basic principles of thermodynamics
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  • Study the principles of elastic potential energy in materials
  • Learn about the mechanics of load vs length graphs in elastic materials
  • Research energy dissipation and heat generation in rubber bands
  • Explore thermodynamic principles related to energy transfer
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Students studying physics, particularly those focusing on mechanics and thermodynamics, as well as educators looking to explain energy dynamics in elastic materials.

songoku
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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
 
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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.
 
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Thank you very much haruspex
 

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