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

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  • #1
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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  • #2
haruspex
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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
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.
 
  • #3
songoku
2,115
278
Thank you very much haruspex
 

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